Vogan, David A. 1954
Overview
Works:  21 works in 99 publications in 3 languages and 2,394 library holdings 

Genres:  Conference papers and proceedings Educational films Filmed lectures Nonfiction films Filmed speeches Glossaries, vocabularies, etc 
Roles:  Author, Editor 
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
)
10 editions published in 1987 in English and Italian and held by 419 WorldCat member libraries worldwide
10 editions published in 1987 in English and Italian and held by 419 WorldCat member libraries worldwide
Cohomological induction and unitary representations by
Anthony W Knapp(
Book
)
10 editions published in 1995 in English and held by 375 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 375 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
)
12 editions published between 1988 and 1989 in English and held by 349 WorldCat member libraries worldwide
12 editions published between 1988 and 1989 in English and held by 349 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 335 WorldCat member libraries worldwide
14 editions published in 1981 in English and German and held by 335 WorldCat member libraries worldwide
The Langlands classification and irreducible characters for real reductive groups by
Jeffrey Adams(
Book
)
11 editions published in 1992 in English and held by 293 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 Deligne's 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
11 editions published in 1992 in English and held by 293 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 Deligne's 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
Representation theory of Lie groups by J Adams(
Book
)
7 editions published in 2000 in English and held by 229 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
7 editions published in 2000 in English and held by 229 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
Geometry and representation theory of real and padic groups by
Juan Tirao(
Book
)
14 editions published between 1996 and 1998 in English and held by 229 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
14 editions published between 1996 and 1998 in English and held by 229 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
Representations of reductive Lie groups by
David A Vogan(
Visual
)
3 editions published between 1986 and 2009 in English and held by 18 WorldCat member libraries worldwide
David A. Vogan lectures about lie groups
3 editions published between 1986 and 2009 in English and held by 18 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 14 WorldCat member libraries worldwide
4 editions published in 2008 in English and held by 14 WorldCat member libraries worldwide
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
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
Representation Theory and Complex Analysis : Lectures given at the C.I.M.E. Summer School held in Venice, Italy June 1017,
2004 by
M Cowling(
)
1 edition published in 2008 in English and held by 1 WorldCat member library worldwide
1 edition published in 2008 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
Representations of reductive Lie groups International Congress of Mathematicians. Berkeley, Calif., USA, August 1986 by
David A Vogan(
Visual
)
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
1 edition published in 1986 in English and held by 1 WorldCat member library worldwide
Junior preaching service by Carlton Walker(
Recording
)
1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
1 edition published in 1960 in English and held by 1 WorldCat member library worldwide
Geometry and representation theory of real and padic Lie groups by Workshop on representation theory of Lie groups and its applications(
Book
)
1 edition published in 1998 in English and held by 1 WorldCat member library worldwide
1 edition published in 1998 in English and held by 1 WorldCat member library 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
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
The Langlands classification and irreducible characters for reductive groups by
Jeffrey Adams(
)
2 editions published in 1992 in English and held by 0 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
2 editions published in 1992 in English and held by 0 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
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Related Identities
 Adams, Jeffrey Author Editor
 Sally, Paul J. Jr 19332013 Editor
 Knapp, Anthony W. Author
 Barbasch, D. (Dan) 1951
 Tirao, Juan 1942 Author Editor
 Wolf, Joseph Albert 1936 Editor
 Tarabusi, Enrico Casadio
 Cowling, Michael Author
 Picardello, Massimo
 D'Agnolo, Andrea
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Associated Subjects
Algebra Analytic mappings Bellefonte (Pa.) Canada Conformal mapping Differential equations, Partial Geometry, Algebraic Greek language, Biblical Group theory Harmonic analysis Homology theory Lie algebras Lie groups Locally compact spaces Mathematics Preaching 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 amerikansk matematikar
David Vogan amerikansk matematiker
David Vogan mathmaticien
David Vogan USamerikanischer Mathematiker
Vogan, D. 1954
Vogan, D. (David A.), 1954
Vogan, David 1954
Vogan, David A.
Vogan, David A. Jr
Vogan, David Alexander 1954
Дэвид Воган
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