Representation Theory Of Reductive Groups

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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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Representation Theory Of Reductive Groups

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Author : Peter C. Trombi
language : en
Publisher:
Release Date : 1983

Representation Theory Of Reductive Groups written by Peter C. Trombi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983 with Representations of groups categories.

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.

Representations Of Reductive Groups

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Author : Roger W. Carter
language : en
Publisher: Cambridge University Press
Release Date : 1998-09-03

Representations Of Reductive Groups written by Roger W. Carter 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 1998-09-03 with Mathematics categories.

This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.

Representations Of Reductive P Adic Groups

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Author : Anne-Marie Aubert
language : en
Publisher: Springer
Release Date : 2019-04-16

Representations Of Reductive P Adic Groups written by Anne-Marie Aubert and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-16 with Mathematics categories.

This book consists of survey articles and original research papers in the representation theory of reductive p-adic groups. In particular, it includes a survey by Anne-Marie Aubert on the enormously influential local Langlands conjectures. The survey gives a precise and accessible formulation of many aspects of the conjectures, highlighting recent refinements, due to the author and her collaborators, and their current status. It also features an extensive account by Colin Bushnell of his work with Henniart on the fine structure of the local Langlands correspondence for general linear groups, beginning with a clear overview of Bushnell–Kutzko’s construction of cuspidal types for such groups. The remaining papers touch on a range of topics in this active area of modern mathematics: group actions on root data, explicit character formulas, classification of discrete series representations, unicity of types, local converse theorems, completions of Hecke algebras, p-adic symmetric spaces. All meet a high level of exposition. The book should be a valuable resource to graduate students and experienced researchers alike.

Representation Theory Of Reductive Groups

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Author : Trombi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13

Representation Theory Of Reductive Groups written by Trombi 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 2013-03-13 with Social Science categories.

This volume is the result of a conference on Representation Theory of Reductive Groups held in Park City, Utah, April 16-20, 1982, under the auspices of the Department of Mathematics, University of Utah. Funding for the conference was provided by the National Science Foundation. The text includes a number of original papers together with expository articles on work already in print. It is hoped that the volume will be of use to both experts in the field and nonspecialists interested in obtaining some insight into the area. Principal organizers of the conference were Henryk Hecht, Dragan Mili~ie, and Peter Trombi. They would like to express their thanks to the National Science Foundation for their support, to the speakers for their diligence in submitting their manuscripts, and to Carla Curtis, Karen Edge, and Katherine Ruth, for typing the manuscripts which were contributed. v CONTENTS J. Arthur, Multipliers and a Paley-Wiener theorem for real reductive groups .......................................... .

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.

Representation Theory Of Reductive Groups

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Author : 3Island Press
language : en
Publisher:
Release Date : 1983-01-01

Representation Theory Of Reductive Groups written by 3Island Press and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1983-01-01 with categories.

Representations Of Sl2 Fq

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Author : Cédric Bonnafé
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-08

Representations Of Sl2 Fq written by Cédric Bonnafé 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 2010-10-08 with Mathematics categories.

Deligne-Lusztig theory aims to study representations of finite reductive groups by means of geometric methods, and particularly l-adic cohomology. Many excellent texts present, with different goals and perspectives, this theory in the general setting. This book focuses on the smallest non-trivial example, namely the group SL2(Fq), which not only provides the simplicity required for a complete description of the theory, but also the richness needed for illustrating the most delicate aspects. The development of Deligne-Lusztig theory was inspired by Drinfeld's example in 1974, and Representations of SL2(Fq) is based upon this example, and extends it to modular representation theory. To this end, the author makes use of fundamental results of l-adic cohomology. In order to efficiently use this machinery, a precise study of the geometric properties of the action of SL2(Fq) on the Drinfeld curve is conducted, with particular attention to the construction of quotients by various finite groups. At the end of the text, a succinct overview (without proof) of Deligne-Lusztig theory is given, as well as links to examples demonstrated in the text. With the provision of both a gentle introduction and several recent materials (for instance, Rouquier's theorem on derived equivalences of geometric nature), this book will be of use to graduate and postgraduate students, as well as researchers and lecturers with an interest in Deligne-Lusztig theory.