Unitary Representations Of Real Reductive Groups
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Real Reductive Groups I
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Author : Nolan R. Wallach
language : en
Publisher: Academic Press
Release Date : 1988-03-01
Real Reductive Groups I written by Nolan R. Wallach and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-03-01 with Mathematics categories.
Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers for the past 15 years. It also had its genesis in an attempt of the author to complete a manuscript of the lectures that he gave at the CBMS regional conference at The University of North Carolina at Chapel Hill in June of 1981. This book comprises 10 chapters and begins with some background material as an introduction. The following chapters then discuss elementary representation theory; real reductive groups; the basic theory of (g, K)-modules; the asymptotic behavior of matrix coefficients; The Langlands Classification; a construction of the fundamental series; cusp forms on G; character theory; and unitary representations and (g, K)-cohomology. This book will be of interest to mathematicians and statisticians.
Unitary Representations Of Reductive Lie Groups
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Author : David A. Vogan
language : en
Publisher: Princeton University Press
Release Date : 1987-10-21
Unitary Representations Of Reductive Lie Groups written by David A. Vogan and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-10-21 with Mathematics categories.
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.
Unitary Representations Of Real Reductive Groups
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Author : Jeffrey Adams
language : en
Publisher:
Release Date : 2020
Unitary Representations Of Real Reductive Groups written by Jeffrey Adams and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.
Unitary Representations Of Reductive Lie Groups
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Author : David A. Vogan
language : en
Publisher:
Release Date : 1987
Unitary Representations Of Reductive Lie Groups written by David A. Vogan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
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.
Real Reductive Groups I
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Author : Nolan R. Wallach
language : en
Publisher: Academic Press
Release Date : 1988-03-13
Real Reductive Groups I written by Nolan R. Wallach and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-03-13 with Mathematics categories.
Real Reductive Groups I is an introduction to the representation theory of real reductive groups. It is based on courses that the author has given at Rutgers for the past 15 years. It also had its genesis in an attempt of the author to complete a manuscript of the lectures that he gave at the CBMS regional conference at The University of North Carolina at Chapel Hill in June of 1981. This book comprises 10 chapters and begins with some background material as an introduction. The following chapters then discuss elementary representation theory; real reductive groups; the basic theory of (g, K)-modules; the asymptotic behavior of matrix coefficients; The Langlands Classification; a construction of the fundamental series; cusp forms on G; character theory; and unitary representations and (g, K)-cohomology. This book will be of interest to mathematicians and statisticians.
Lectures On Restrictions Of Unitary Representations Of Real Reductive Groups
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Author : Toshiyuki Kobayashi
language : en
Publisher:
Release Date : 2005
Lectures On Restrictions Of Unitary Representations Of Real Reductive Groups written by Toshiyuki Kobayashi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Representations of Lie groups categories.
Real Reductive Groups Ii
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Author :
language : en
Publisher: Academic Press
Release Date : 1992-08-06
Real Reductive Groups Ii written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-08-06 with Mathematics categories.
Real Reductive Groups II
Representations Of Real Reductive Lie Groups
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Author : David A. Vogan
language : en
Publisher: Birkhäuser
Release Date : 2016-06-09
Representations Of Real Reductive Lie Groups written by David A. Vogan and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-09 with Mathematics categories.
This book describes the foundations of infinite-dimensional representations of real reductive Lie groups. There are three major topics. First is the Langlands classification of irreducible representations. This is done using a generalization of parabolic induction due to Zuckerman. Second is the analysis of reducibility in certain standard families of representations. Third is the formulation of Kazhdan and Lusztig's conjectural character formulas for arbitrary irreducible representations. Since the first edition was published in 1981, the Kazhdan-Lusztig conjectures have been proved, and Zuckerman's construction has been connected to unitary representations. This second edition summarizes those developments and other progress in the field.
Real Reductive Groups
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Author : Nolan R. Wallach
language : en
Publisher:
Release Date : 1988
Real Reductive Groups written by Nolan R. Wallach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Representations Of Reductive Groups
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Author : Monica Nevins
language : en
Publisher: Birkhäuser
Release Date : 2015-12-18
Representations Of Reductive Groups written by Monica Nevins and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-18 with Mathematics categories.
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 p-adic 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 19-23, 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, Jing-Song 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