Wallach, Nolan R.Overview
Publication Timeline
Most widely held works by
Nolan R Wallach
Continuous cohomology, discrete subgroups, and representations of reductive groups
by Armand Borel
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24 editions published between 1980 and 2000 in English and held by 724 WorldCat member libraries worldwide It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades
Symmetry, representations, and invariants
by Roe Goodman
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22 editions published between 2009 and 2010 in English and held by 628 WorldCat member libraries worldwide Offers an introduction to Lie theory, representation theory, invariant theory, and algebraic groups. This book presents the principal theorems of representation theory for the classical matrix groups as motivation for the general theory of reductive groups. It is suitable for physicists as well as mathematicians
Representations and invariants of the classical groups
by Roe Goodman
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Book
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16 editions published between 1998 and 2003 in English and held by 464 WorldCat member libraries worldwide As a text for those new to the area, this book provides an introduction to the structure and finitedimensional representation theory of the complex classical groups that requires only an abstract algebra course as a prerequisite. It makes abundant use of examples and more than 300 exercises (most with hints for solution) to explain concepts such as root systems, Weyl groups, and highest weight theory. For the more advanced reader, the book presents an introduction to the structure and representations of complex reductive algebraic groups and their compact real forms. It also serves as a reference for the main results concerning tensor and polynomial invariants and the finite dimensional representation theory of the classical groups
Harmonic analysis on homogeneous spaces
by Nolan R Wallach
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Book
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13 editions published between 1973 and 1990 in English and Undetermined and held by 404 WorldCat member libraries worldwide
Real reductive groups
by Nolan R Wallach
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Book
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6 editions published in 1992 in English and held by 328 WorldCat member libraries worldwide
Symplectic geometry and Fourier analysis
by Nolan R Wallach
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Book
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11 editions published between 1976 and 1977 in English and held by 260 WorldCat member libraries worldwide
New developments in Lie theory and their applications
by Juan Tirao
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Book
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7 editions published in 1992 in English and held by 237 WorldCat member libraries worldwide
Real reductive groups I
by Nolan R Wallach
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16 editions published between 1986 and 2005 in English and Undetermined and held by 164 WorldCat member libraries worldwide
Real reductive groups II
by Nolan R Wallach
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11 editions published in 1992 in English and held by 122 WorldCat member libraries worldwide Sequel to andquot;Real Reductive Groups Iandquot;, this book emphasizes more analytical aspects of representation theory, but retains its focus on the interaction between algebra, analysis and geometry, like the first volume. The two volumes comprise a complete introduction to representation theory
Representation theory and automorphic forms
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Book
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8 editions published in 1993 in English and held by 57 WorldCat member libraries worldwide
Some applications of group representations
by Nolan R Wallach
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Visual
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5 editions published between 1990 and 2012 in English and held by 24 WorldCat member libraries worldwide Presents examples of applications of Lie theory showing how the subject has gone beyond its roots. Where Lie initially envisioned the theory as a way of solving differential equations by reducing the number of variables, today it is often used to set certain problems in a larger context by increasing the number of variables. Although becoming larger, the problem can become simpler because of the power of abstraction in representation theory and because of the exploitation of symmetries in the new, larger system
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
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2 editions published in 2008 in English and held by 22 WorldCat member libraries 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
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2 editions published in 2008 in English and held by 13 WorldCat member libraries worldwide
Real reductive groups
by Nolan R Wallach
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Book
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in English and held by 9 WorldCat member libraries worldwide
Real reductive groups
by Nolan R Wallach
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Book
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4 editions published in 1992 in English and held by 8 WorldCat member libraries worldwide
Real Productive Groups I
by Nolan R Wallach
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1 edition published in 1988 in English and held by 6 WorldCat member libraries worldwide Real Productive Groups I
Real reductive groups
by Nolan R Wallach
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Book
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2 editions published in 1988 in English and held by 6 WorldCat member libraries worldwide
Real reductive groups : a series of monographs and textbooks
by Nolan R Wallach
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Book
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1 edition published in 1992 in English and held by 2 WorldCat member libraries worldwide
Seminar on the Cohomology of Discrete Subgroups of Semisimple Groups : [notes of a seminar held at the Institute for Advanced Study during the academic year 197677
by Seminar on the Cohomology of Discrete Subgroups of Semisimple Groups
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Book
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1 edition published in 1977 in English and held by 2 WorldCat member libraries worldwide
Lie groups : history, frontiers and applications
by Nolan R Wallach
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Book
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2 editions published in 1977 in English and held by 2 WorldCat member libraries worldwide more
fewer
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Related Identities
Associated Subjects
Algebra Automorphic forms Differential equations Differential equations, Partial Discrete groups Fourier analysis Group theory Harmonic analysis Homogeneous spaces Homology theory Invariants Lie, Sophus, Lie groups Linear algebraic groups Mathematical physics Mathematics Quantum theory Representations of groups Symmetry (Mathematics) Symplectic manifolds Topological groups Vector bundles

Alternative Names
Wallach, N.
Wallach, N. 1940
Wallach, N. R. 1940
Wallach, Nolan
Wallach, Nolan 1940
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