Vogan, David A. 1954
Overview
Works:  24 works in 120 publications in 3 languages and 3,153 library holdings 

Genres:  Conference papers and proceedings Educational films Filmed lectures Nonfiction films Filmed speeches Glossaries, vocabularies, etc 
Roles:  Author, Editor, Contributor 
Classifications:  QA387, 512.55 
Publication Timeline
.
Most widely held works about
David A Vogan
Most widely held works by
David A Vogan
Unitary representations of reductive Lie groups by
David A Vogan(
Book
)
12 editions published between 1987 and 2016 in English and Italian and held by 423 WorldCat member libraries worldwide
This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations
12 editions published between 1987 and 2016 in English and Italian and held by 423 WorldCat member libraries worldwide
This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations
Cohomological induction and unitary representations by
Anthony W Knapp(
Book
)
10 editions published in 1995 in English and held by 381 WorldCat member libraries worldwide
This book offers a systematic treatment  the first in book form  of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a realanalysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated cohomology theories grew up as a result of work by Borel, Weil, HarishChandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complexanalysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups
10 editions published in 1995 in English and held by 381 WorldCat member libraries worldwide
This book offers a systematic treatment  the first in book form  of the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a realanalysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated cohomology theories grew up as a result of work by Borel, Weil, HarishChandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complexanalysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups
Representation theory and harmonic analysis on semisimple Lie groups by
Paul J Sally(
Book
)
14 editions published between 1988 and 2014 in English and held by 344 WorldCat member libraries worldwide
14 editions published between 1988 and 2014 in English and held by 344 WorldCat member libraries worldwide
Representations of real reductive Lie groups by
David A Vogan(
Book
)
14 editions published in 1981 in English and German and held by 342 WorldCat member libraries worldwide
14 editions published in 1981 in English and German and held by 342 WorldCat member libraries worldwide
The Langlands classification and irreducible characters for real reductive groups by
Jeffrey Adams(
Book
)
13 editions published in 1992 in English and held by 305 WorldCat member libraries worldwide
This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the WeilDeligne group. For padic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between padic representation theory and geometry on the space of padic representation theory and geometry on the space of padic Langlands parameters. In the case of real groups, the predicted parametrizations of representations was proved by Langlands himself. Unfortunately, most of the deeper relations suggested by the padic theory (between real representation theory and geometry on the space of real Langlands parameters) are not true. The purposed of this book is to redefine the space of real Langlands parameters so as to recover these relationships; informally, to do "KazhdanLusztig theory on the dual group". The new definitions differ from the classical ones in roughly the same way that Delignes definition of a Hodge structure differs from the classical one. This book provides and introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation theory and in automorphic forms
13 editions published in 1992 in English and held by 305 WorldCat member libraries worldwide
This monograph explores the geometry of the local Langlands conjecture. The conjecture predicts a parametrizations of the irreducible representations of a reductive algebraic group over a local field in terms of the complex dual group and the WeilDeligne group. For padic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between padic representation theory and geometry on the space of padic representation theory and geometry on the space of padic Langlands parameters. In the case of real groups, the predicted parametrizations of representations was proved by Langlands himself. Unfortunately, most of the deeper relations suggested by the padic theory (between real representation theory and geometry on the space of real Langlands parameters) are not true. The purposed of this book is to redefine the space of real Langlands parameters so as to recover these relationships; informally, to do "KazhdanLusztig theory on the dual group". The new definitions differ from the classical ones in roughly the same way that Delignes definition of a Hodge structure differs from the classical one. This book provides and introduction to some modern geometric methods in representation theory. It is addressed to graduate students and research workers in representation theory and in automorphic forms
Geometry and representation theory of real and padic groups by
Juan Tirao(
Book
)
16 editions published between 1996 and 1998 in English and held by 239 WorldCat member libraries worldwide
The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics. In August, 1995, the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in Argentina. Organized by Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge Vargas, the workshop offered expository courses on current research, and individual lectures on more specialized topics. The present vol ume reflects the dual character of the workshop. Many of the articles will be accessible to graduate students and others entering the field. Here is a rough outline of the mathematical content. (The editors beg the indulgence of the readers for any lapses in this preface in the high standards of historical and mathematical accuracy that were imposed on the authors of the articles.) Connections between flag varieties and representation theory for real re ductive groups have been studied for almost fifty years, from the work of Gelfand and Naimark on principal series representations to that of Beilinson and Bernstein on localization. The article of Wolf provides a detailed introduc tion to the analytic side of these developments. He describes the construction of standard tempered representations in terms of squareintegrable partially harmonic forms (on certain real group orbits on a flag variety), and outlines the ingredients in the Plancherel formula. Finally, he describes recent work on the complex geometry of real group orbits on partial flag varieties
16 editions published between 1996 and 1998 in English and held by 239 WorldCat member libraries worldwide
The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics. In August, 1995, the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in Argentina. Organized by Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge Vargas, the workshop offered expository courses on current research, and individual lectures on more specialized topics. The present vol ume reflects the dual character of the workshop. Many of the articles will be accessible to graduate students and others entering the field. Here is a rough outline of the mathematical content. (The editors beg the indulgence of the readers for any lapses in this preface in the high standards of historical and mathematical accuracy that were imposed on the authors of the articles.) Connections between flag varieties and representation theory for real re ductive groups have been studied for almost fifty years, from the work of Gelfand and Naimark on principal series representations to that of Beilinson and Bernstein on localization. The article of Wolf provides a detailed introduc tion to the analytic side of these developments. He describes the construction of standard tempered representations in terms of squareintegrable partially harmonic forms (on certain real group orbits on a flag variety), and outlines the ingredients in the Plancherel formula. Finally, he describes recent work on the complex geometry of real group orbits on partial flag varieties
Representation theory of Lie groups by
Jeffrey Adams(
Book
)
9 editions published in 2000 in English and held by 235 WorldCat member libraries worldwide
"Each contributor to the volume presents the topics in a unique, comprehensive, and accessible manner geared toward advanced graduate students and researcher. Students should have completed the standard introductory graduate courses for full comprehension of the work. The book would also serve well as a supplementary text for a course on introductory infinitedimensional representation theory."Jacket
9 editions published in 2000 in English and held by 235 WorldCat member libraries worldwide
"Each contributor to the volume presents the topics in a unique, comprehensive, and accessible manner geared toward advanced graduate students and researcher. Students should have completed the standard introductory graduate courses for full comprehension of the work. The book would also serve well as a supplementary text for a course on introductory infinitedimensional representation theory."Jacket
Representations of reductive groups : in honor of the 60th birthday of David A. Vogan, Jr.(
Book
)
7 editions published in 2015 in English and held by 64 WorldCat member libraries worldwide
Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and padic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics. Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 1923, 2014. This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored. Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context. Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, JingSong Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson
7 editions published in 2015 in English and held by 64 WorldCat member libraries worldwide
Over the last forty years, David Vogan has left an indelible imprint on the representation theory of reductive groups. His groundbreaking ideas have lead to deep advances in the theory of real and padic groups, and have forged lasting connections with other subjects, including number theory, automorphic forms, algebraic geometry, and combinatorics. Representations of Reductive Groups is an outgrowth of the conference of the same name, dedicated to David Vogan on his 60th birthday, which took place at MIT on May 1923, 2014. This volume highlights the depth and breadth of Vogan's influence over the subjects mentioned above, and point to many exciting new directions that remain to be explored. Notably, the first article by McGovern and Trapa offers an overview of Vogan's body of work, placing his ideas in a historical context. Contributors: Pramod N. Achar, Jeffrey D. Adams, Dan Barbasch, Manjul Bhargava, Cédric Bonnafé, Dan Ciubotaru, Meinolf Geck, William Graham, Benedict H. Gross, Xuhua He, JingSong Huang, Toshiyuki Kobayashi, Bertram Kostant, Wenjing Li, George Lusztig, Eric Marberg, William M. McGovern, Wilfried Schmid, Kari Vilonen, Diana Shelstad, Peter E. Trapa, David A. Vogan, Jr., Nolan R. Wallach, Xiaoheng Wang, Geordie Williamson
Representations of reductive Lie groups by
David A Vogan(
Visual
)
4 editions published between 1986 and 2009 in English and held by 19 WorldCat member libraries worldwide
David A. Vogan lectures about lie groups
4 editions published between 1986 and 2009 in English and held by 19 WorldCat member libraries worldwide
David A. Vogan lectures about lie groups
Representation theory and complex analysis : lectures given at the C.I.M.E. Summer School held in Venice, Italy, June 1017,
2004 by
Centro internazionale matematico estivo(
)
4 editions published in 2008 in English and held by 13 WorldCat member libraries worldwide
Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity. Michael Cowling presents a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces. Alain Valette recalls the concept of amenability and shows how it is used in the proof of rigidity results for lattices of semisimple Lie groups. Edward Frenkel describes the geometric Langlands correspondence for complex algebraic curves, concentrating on the ramified case where a finite number of regular singular points is allowed. Masaki Kashiwara studies the relationship between the representation theory of real semisimple Lie groups and the geometry of the flag manifolds associated with the corresponding complex algebraic groups. David Vogan deals with the problem of getting unitary representations out of those arising from complex analysis, such as minimal globalizations realized on Dolbeault cohomology with compact support. Nolan Wallach illustrates how representation theory is related to quantum computing, focusing on the study of qubit entanglement
4 editions published in 2008 in English and held by 13 WorldCat member libraries worldwide
Six leading experts lecture on a wide spectrum of recent results on the subject of the title, providing both a solid reference and deep insights on current research activity. Michael Cowling presents a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces. Alain Valette recalls the concept of amenability and shows how it is used in the proof of rigidity results for lattices of semisimple Lie groups. Edward Frenkel describes the geometric Langlands correspondence for complex algebraic curves, concentrating on the ramified case where a finite number of regular singular points is allowed. Masaki Kashiwara studies the relationship between the representation theory of real semisimple Lie groups and the geometry of the flag manifolds associated with the corresponding complex algebraic groups. David Vogan deals with the problem of getting unitary representations out of those arising from complex analysis, such as minimal globalizations realized on Dolbeault cohomology with compact support. Nolan Wallach illustrates how representation theory is related to quantum computing, focusing on the study of qubit entanglement
Algebriac structure of the représentations of semi simple Lie groups II by
David A Vogan(
Book
)
2 editions published between 1977 and 1981 in English and held by 3 WorldCat member libraries worldwide
2 editions published between 1977 and 1981 in English and held by 3 WorldCat member libraries worldwide
Representations of real reductive Lie groups by
David A Vogan(
Book
)
1 edition published in 1981 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1981 in English and held by 3 WorldCat member libraries worldwide
Lie algebra cohomology and the representations of semisimple Lie groups by
David A Vogan(
Book
)
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
1 edition published in 1976 in English and held by 1 WorldCat member library worldwide
Darstellungstheorie reduktiver Liegruppen und automorphe Darstellungen 26.7. bis 1.8.1987(
Book
)
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
1 edition published in 1987 in English and held by 1 WorldCat member library worldwide
Open mappings on locally compact spaces by
Gordon Thomas Whyburn(
Book
)
1 edition published in 1950 in Italian and held by 1 WorldCat member library worldwide
1 edition published in 1950 in Italian and held by 1 WorldCat member library worldwide
A student's vocabulary of the Greek New Testament : words occurring four or more times arranged according to frequency and
cognate by
David A Vogan(
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
Unitary Representations of Reductive Lie Groups. (AM118) by
David A Vogan(
Book
)
2 editions published between 1987 and 1988 in English and held by 1 WorldCat member library worldwide
2 editions published between 1987 and 1988 in English and held by 1 WorldCat member library worldwide
Langlands Classification and Irreducible Characters for Real Reductive Groups by
J Oesterlé(
)
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
1 edition published in 1992 in English and held by 0 WorldCat member libraries worldwide
Unitary Representations of Reductive Lie Groups. (AM118) by
David A Vogan(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
This book is an expanded version of the Hermann Weyl Lectures given at the Institute for Advanced Study in January 1986. It outlines some of what is now known about irreducible unitary representations of real reductive groups, providing fairly complete definitions and references, and sketches (at least) of most proofs. The first half of the book is devoted to the three more or less understood constructions of such representations: parabolic induction, complementary series, and cohomological parabolic induction. This culminates in the description of all irreducible unitary representation of the general linear groups. For other groups, one expects to need a new construction, giving "unipotent representations." The latter half of the book explains the evidence for that expectation and suggests a partial definition of unipotent representations
Cohomological Induction and Unitary Representations (PMS45) by
Anthony W Knapp(
)
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
This book offers a systematic treatmentthe first in book formof the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated cohomology theories grew up as a result of work by Borel, Weil, HarishChandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complexanalysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups. The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis
1 edition published in 2016 in English and held by 0 WorldCat member libraries worldwide
This book offers a systematic treatmentthe first in book formof the development and use of cohomological induction to construct unitary representations. George Mackey introduced induction in 1950 as a real analysis construction for passing from a unitary representation of a closed subgroup of a locally compact group to a unitary representation of the whole group. Later a parallel construction using complex analysis and its associated cohomology theories grew up as a result of work by Borel, Weil, HarishChandra, Bott, Langlands, Kostant, and Schmid. Cohomological induction, introduced by Zuckerman, is an algebraic analog that is technically more manageable than the complexanalysis construction and leads to a large repertory of irreducible unitary representations of reductive Lie groups. The book, which is accessible to students beyond the first year of graduate school, will interest mathematicians and physicists who want to learn about and take advantage of the algebraic side of the representation theory of Lie groups. Cohomological Induction and Unitary Representations develops the necessary background in representation theory and includes an introductory chapter of motivation, a thorough treatment of the "translation principle," and four appendices on algebra and analysis
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Related Identities
 Adams, Jeffrey Author Editor
 Knapp, Anthony W. Author
 Sally, Paul J. Jr 19332013 Author Editor
 Barbasch, D. (Dan) 1951
 Wolf, Joseph Albert 1936 Editor
 Tirao, Juan 1942 Author Editor
 Trapa, Peter E. 1974 Editor
 Nevins, Monica 1973 Editor
 Frenkel, Edward
 Cowling, Michael Author
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Associated Subjects
Algebra Analytic mappings Canada Conformal mapping Differential equations, Partial Geometry, Algebraic Greek language, Biblical Group theory Harmonic analysis Homology theory Lie algebras Lie groups Linear algebraic groups Locally compact spaces Mathematics Number theory PennsylvaniaBellefonte Quantum computing Quantum theory Representations of groups Representations of Lie groups Scientists Semisimple Lie groups Teenagers Topological groups Transformations (Mathematics) United States
Alternative Names
David Vogan Amerikaans wiskundige
David Vogan amerikansk matematikar
David Vogan amerikansk matematiker
David Vogan matemático estadounidense
David Vogan matematico statunitense
David Vogan mathématicien
David Vogan USamerikanischer Mathematiker
David Vogan Usona matematikisto
Vogan, D. 1954
Vogan, D. (David A.), 1954
Vogan, D. Jr. 1954
Vogan, David
Vogan, David 1954
Vogan, David A.
Vogan, David A. Jr
Vogan, David A. Jr. 1954
Vogan, David Alexander 1954
Дэвид Воган
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