Real Reductive Groups Ii
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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
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
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 Lie groups categories.
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.
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.
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.
Representations Of Real And P Adic Groups
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Author : Eng-chye Tan
language : en
Publisher: World Scientific
Release Date : 2004-04-15
Representations Of Real And P Adic Groups written by Eng-chye Tan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-04-15 with Mathematics categories.
The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on “Representation Theory of Lie Groups” from July 2002 to January 2003. As part of the program, tutorials for graduate students and junior researchers were given by leading experts in the field.This invaluable volume collects the expanded lecture notes of those tutorials. The topics covered include uncertainty principles for locally compact abelian groups, fundamentals of representations of p-adic groups, the Harish-Chandra-Howe local character expansion, classification of the square-integrable representations modulo cuspidal data, Dirac cohomology and Vogan's conjecture, multiplicity-free actions and Schur-Weyl-Howe duality.The lecturers include Tomasz Przebinda from the University of Oklahoma, USA; Gordan Savin from the University of Utah, USA; Stephen DeBacker from Harvard University, USA; Marko Tadić from the University of Zagreb, Croatia; Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong; Pavle Pandǽić from the University of Zagreb, Croatia; Chal Benson and Gail Ratcliff from East Carolina University, USA; and Roe Goodman from Rutgers University, USA.
Representations Of Algebraic Groups
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Author : Jens Carsten Jantzen
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
Representations Of Algebraic Groups written by Jens Carsten Jantzen and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Gives an introduction to the general theory of representations of algebraic group schemes. This title deals with representation theory of reductive algebraic groups and includes topics such as the description of simple modules, vanishing theorems, Borel-Bott-Weil theorem and Weyl's character formula, and Schubert schemes and lne bundles on them.
Representation Theory Of Finite Reductive Groups
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Author : Marc Cabanes
language : en
Publisher: Cambridge University Press
Release Date : 2004-01-29
Representation Theory Of Finite Reductive Groups written by Marc Cabanes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-29 with Mathematics categories.
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Pseudo Reductive Groups
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Author : Brian Conrad
language : en
Publisher: Cambridge University Press
Release Date : 2015-06-04
Pseudo Reductive Groups written by Brian Conrad and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-04 with Mathematics categories.
This monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. This second edition has been revised and updated, with Chapter 9 being completely rewritten via the useful new notion of 'minimal type' for pseudo-reductive groups.