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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.

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: Birkhauser
Release Date : 1981

Representations Of Real Reductive Lie Groups written by David A. Vogan and has been published by Birkhauser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981 with Mathematics categories.

Harmonic Analysis On Real Reductive Groups

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Author : V.S. Varadarajan
language : en
Publisher: Springer
Release Date : 2006-11-14

Harmonic Analysis On Real Reductive Groups written by V.S. Varadarajan and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

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.

Real Reductive Groups I

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Author : Nolan R. Wallach
language : en
Publisher: Academic Press
Release Date : 1988-03-13

Harmonic Analysis Of Spherical Functions On Real Reductive Groups

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Author : Ramesh Gangolli
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Harmonic Analysis Of Spherical Functions On Real Reductive Groups written by Ramesh Gangolli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Analysis on Symmetric spaces, or more generally, on homogeneous spaces of semisimple Lie groups, is a subject that has undergone a vigorous development in recent years, and has become a central part of contemporary mathematics. This is only to be expected, since homogeneous spaces and group representations arise naturally in diverse contexts ranging from Number theory and Geometry to Particle Physics and Polymer Chemistry. Its explosive growth sometimes makes it difficult to realize that it is actually relatively young as mathematical theories go. The early ideas in the subject (as is the case with many others) go back to Elie Cart an and Hermann Weyl who studied the compact symmetric spaces in the 1930's. However its full development did not begin until the 1950's when Gel'fand and Harish Chandra dared to dream of a theory of representations that included all semisimple Lie groups. Harish-Chandra's theory of spherical functions was essentially complete in the late 1950's, and was to prove to be the forerunner of his monumental work on harmonic analysis on reductive groups that has inspired a whole generation of mathematicians. It is the harmonic analysis of spherical functions on symmetric spaces, that is at the focus of this book. The fundamental questions of harmonic analysis on symmetric spaces involve an interplay of the geometric, analytical, and algebraic aspects of these spaces. They have therefore attracted a great deal of attention, and there have been many excellent expositions of the themes that are characteristic of this subject.

Real Reductive Groups

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Author : Nolan R. Wallach
language : en
Publisher:
Release Date : 1988

The Langlands Classification And Irreducible Characters For Real Reductive Groups

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Author : J. Adams
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

The Langlands Classification And Irreducible Characters For Real Reductive Groups written by J. Adams and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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 Weil-Deligne group. For p-adic fields, this conjecture has not been proved; but it has been refined to a detailed collection of (conjectural) relationships between p-adic representation theory and geometry on the space of p-adic representation theory and geometry on the space of p-adic Langlands parameters. 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.

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.

Real Reductive Groups

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