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Lie Groups And Automorphic Forms

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Automorphic Forms On Semisimple Lie Groups

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Author : Bhartendu Harishchandra
language : en
Publisher: Springer
Release Date : 2006-12-08

Automorphic Forms On Semisimple Lie Groups written by Bhartendu Harishchandra and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.

Lie Groups And Automorphic Forms

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Author : Lizhen Ji
language : en
Publisher:
Release Date : 2006

Lie Groups And Automorphic Forms written by Lizhen Ji and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Automorphic forms categories.

Lie groups are fundamental objects in mathematics. They occur naturally in differential geometry, algebraic geometry, representation theory, number theory, and other areas. Closely related are arithmetic subgroups, locally symmetric spaces and the spectral theory of automorphic forms. This book consists of five chapters which give comprehensive introductions to Lie groups, Lie algebras, arithmetic groups and reduction theories, cohomology of arithmetic groups, and the Petersson and Kuznetsov trace formulas.

Lie Groups And Automorphic Forms

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Author : Lizhen Ji
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Lie Groups And Automorphic Forms written by Lizhen Ji 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 2006 with Mathematics categories.

Automorphic Forms On Semisimple Lie Groups

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Author : Harish-Chandra
language : en
Publisher:
Release Date : 1988

Automorphic Forms On Semisimple Lie Groups written by Harish-Chandra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.

Automorphic Forms On Semisimple Lie Groups

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Author : Harish Chandra
language : en
Publisher:
Release Date : 1968

Automorphic Forms On Semisimple Lie Groups written by Harish Chandra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Functional equations categories.

Lie Groups

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Author : Daniel Bump
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-01

Lie Groups written by Daniel Bump 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 2013-10-01 with Mathematics categories.

This book is intended for a one-year graduate course on Lie groups and Lie algebras. The book goes beyond the representation theory of compact Lie groups, which is the basis of many texts, and provides a carefully chosen range of material to give the student the bigger picture. The book is organized to allow different paths through the material depending on one's interests. This second edition has substantial new material, including improved discussions of underlying principles, streamlining of some proofs, and many results and topics that were not in the first edition. For compact Lie groups, the book covers the Peter–Weyl theorem, Lie algebra, conjugacy of maximal tori, the Weyl group, roots and weights, Weyl character formula, the fundamental group and more. The book continues with the study of complex analytic groups and general noncompact Lie groups, covering the Bruhat decomposition, Coxeter groups, flag varieties, symmetric spaces, Satake diagrams, embeddings of Lie groups and spin. Other topics that are treated are symmetric function theory, the representation theory of the symmetric group, Frobenius–Schur duality and GL(n) × GL(m) duality with many applications including some in random matrix theory, branching rules, Toeplitz determinants, combinatorics of tableaux, Gelfand pairs, Hecke algebras, the "philosophy of cusp forms" and the cohomology of Grassmannians. An appendix introduces the reader to the use of Sage mathematical software for Lie group computations.

Automorphic Forms Representations And L Functions

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Author : A. Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 1979

Automorphic Forms Representations And L Functions written by A. Borel 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 1979 with Mathematics categories.

Contains sections on Reductive groups, representations, Automorphic forms and representations.

Cohomology Of Arithmetic Groups And Automorphic Forms

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Author : Jean-Pierre Labesse
language : en
Publisher: Springer
Release Date : 2006-11-14

Cohomology Of Arithmetic Groups And Automorphic Forms written by Jean-Pierre Labesse 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.

Cohomology of arithmetic groups serves as a tool in studying possible relations between the theory of automorphic forms and the arithmetic of algebraic varieties resp. the geometry of locally symmetric spaces. These proceedings will serve as a guide to this still rapidly developing area of mathematics. Besides two survey articles, the contributions are original research papers.

Harmonic Analysis Group Representations Automorphic Forms And Invariant Theory

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Author : Roger Howe
language : en
Publisher: World Scientific
Release Date : 2007

Harmonic Analysis Group Representations Automorphic Forms And Invariant Theory written by Roger Howe and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

This volume carries the same title as that of an international conference held at the National University of Singapore, 9OCo11 January 2006 on the occasion of Roger E. Howe''s 60th birthday. Authored by leading members of the Lie theory community, these contributions, expanded from invited lectures given at the conference, are a fitting tribute to the originality, depth and influence of Howe''s mathematical work. The range and diversity of the topics will appeal to a broad audience of research mathematicians and graduate students interested in symmetry and its profound applications. Sample Chapter(s). Foreword (21 KB). Chapter 1: The Theta Correspondence Over R (342 KB). Contents: The Theta Correspondence over R (J Adams); The Heisenberg Group, SL (3, R), and Rigidity (A iap et al.); Pfaffians and Strategies for Integer Choice Games (R Evans & N Wallach); When is an L -Function Non-Vanishing in Part of the Critical Strip? (S Gelbart); Cohomological Automorphic Forms on Unitary Groups, II: Period Relations and Values of L -Functions (M Harris); The Inversion Formula and Holomorphic Extension of the Minimal Representation of the Conformal Group (T Kobayashi & G Mano); Classification des S(r)ries Discr tes pour Certains Groupes Classiques p- Adiques (C Moeglin); Some Algebras of Essentially Compact Distributions of a Reductive p -Adic Group (A Moy & M Tadic); Annihilators of Generalized Verma Modules of the Scalar Type for Classical Lie Algebras (T Oshima); Branching to a Maximal Compact Subgroup (D A Vogan, Jr.); Small Semisimple Subalgebras of Semisimple Lie Algebras (J F Willenbring & G J Zuckerman). Readership: Graduate students and research mathematicians in harmonic analysis, group representations, automorphic forms and invariant theory."

Automorphic Forms Representations And L Functions

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Author : Armand Borel
language : en
Publisher: American Mathematical Soc.
Release Date : 1979-06-30

Automorphic Forms Representations And L Functions written by Armand Borel 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 1979-06-30 with Mathematics categories.

Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Lie Groups And Automorphic Forms

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