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Author : Bhartendu Harishchandra
Publisher : Springer
ISBN 13 : 354035865X
Total Pages : 152 pages
Book Rating : 4.5/5 (43 download)
Download or read book Automorphic Forms on Semisimple Lie Groups written by Bhartendu Harishchandra and published by Springer. This book was released on 2006-12-08 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harish Chandra
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.:/5 (472 download)
Download or read book Automorphic Forms on Semisimple Lie Groups written by Harish Chandra and published by . This book was released on 1968 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Harish-Chandra
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (18 download)
Download or read book Automorphic Forms on Semisimple Lie Groups written by Harish-Chandra and published by . This book was released on 1988 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Min Ho Lee
Publisher : Springer Science & Business Media
ISBN 13 : 9783540219224
Total Pages : 262 pages
Book Rating : 4.2/5 (192 download)
Download or read book Mixed Automorphic Forms, Torus Bundles, and Jacobi Forms written by Min Ho Lee and published by Springer Science & Business Media. This book was released on 2004-05-13 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with various topics around equivariant holomorphic maps of Hermitian symmetric domains and is intended for specialists in number theory and algebraic geometry. In particular, it contains a comprehensive exposition of mixed automorphic forms that has never yet appeared in book form. The main goal is to explore connections among complex torus bundles, mixed automorphic forms, and Jacobi forms associated to an equivariant holomorphic map. Both number-theoretic and algebro-geometric aspects of such connections and related topics are discussed.
Author : Roger Howe
Publisher : World Scientific
ISBN 13 : 9812770798
Total Pages : 446 pages
Book Rating : 4.8/5 (127 download)
Download or read book Harmonic Analysis, Group Representations, Automorphic Forms, and Invariant Theory written by Roger Howe and published by World Scientific. This book was released on 2007 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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."
Author : Urmie Ray
Publisher : Springer Science & Business Media
ISBN 13 : 1402050100
Total Pages : 293 pages
Book Rating : 4.4/5 (2 download)
Download or read book Automorphic Forms and Lie Superalgebras written by Urmie Ray and published by Springer Science & Business Media. This book was released on 2007-03-06 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the reader with the tools to understand the ongoing classification and construction project of Lie superalgebras. It presents the material in as simple terms as possible. Coverage specifically details Borcherds-Kac-Moody superalgebras. The book examines the link between the above class of Lie superalgebras and automorphic form and explains their construction from lattice vertex algebras. It also includes all necessary background information.
Author : T. N. Bailey
Publisher : American Mathematical Soc.
ISBN 13 : 0821806092
Total Pages : 490 pages
Book Rating : 4.8/5 (218 download)
Download or read book Representation Theory and Automorphic Forms written by T. N. Bailey and published by American Mathematical Soc.. This book was released on 1997 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lectures from a course in the representation theory of semi- simple groups, automorphic forms, and the relations between them. The purpose is to help analysts make systematic use of Lie groups in work on harmonic analysis, differential equations, and mathematical physics; and to provide number theorists with the representation-theoretic input to Wiles's proof of Fermat's Last Theorem. Begins with an introductory treatment of structure theory and ends with the current status of functionality. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Stephen S. Gelbart
Publisher : Princeton University Press
ISBN 13 : 9780691081564
Total Pages : 284 pages
Book Rating : 4.0/5 (815 download)
Download or read book Automorphic Forms on Adele Groups written by Stephen S. Gelbart and published by Princeton University Press. This book was released on 1975-03-21 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume investigates the interplay between the classical theory of automorphic forms and the modern theory of representations of adele groups. Interpreting important recent contributions of Jacquet and Langlands, the author presents new and previously inaccessible results, and systematically develops explicit consequences and connections with the classical theory. The underlying theme is the decomposition of the regular representation of the adele group of GL(2). A detailed proof of the celebrated trace formula of Selberg is included, with a discussion of the possible range of applicability of this formula. Throughout the work the author emphasizes new examples and problems that remain open within the general theory. TABLE OF CONTENTS: 1. The Classical Theory 2. Automorphic Forms and the Decomposition of L2(PSL(2,R) 3. Automorphic Forms as Functions on the Adele Group of GL(2) 4. The Representations of GL(2) over Local and Global Fields 5. Cusp Forms and Representations of the Adele Group of GL(2) 6. Hecke Theory for GL(2) 7. The Construction of a Special Class of Automorphic Forms 8. Eisenstein Series and the Continuous Spectrum 9. The Trace Formula for GL(2) 10. Automorphic Forms on a Quaternion Algebr?
Author : A. Borel
Publisher : American Mathematical Soc.
ISBN 13 : 0821814354
Total Pages : 334 pages
Book Rating : 4.8/5 (218 download)
Download or read book Automorphic Forms, Representations and $L$-Functions written by A. Borel and published by American Mathematical Soc.. This book was released on 1979 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Reductive groups, representations, Automorphic forms and representations.
Author : Armand Borel
Publisher : Cambridge University Press
ISBN 13 : 1316582639
Total Pages : pages
Book Rating : 4.3/5 (165 download)
Download or read book Automorphic Forms on SL2 (R) written by Armand Borel and published by Cambridge University Press. This book was released on 1997-08-28 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form on G\G and its relationship with the classical automorphic forms on X, Poincare series, constant terms, cusp forms, finite dimensionality of the space of automorphic forms of a given type, compactness of certain convolution operators, Eisenstein series, unitary representations of G, and the spectral decomposition of L2 (G\G). The main prerequisites are some results in functional analysis (reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras. Graduate students and researchers in analytic number theory will find much to interest them in this book.
Author : Harald Grobner
Publisher : World Scientific
ISBN 13 : 9811246181
Total Pages : 262 pages
Book Rating : 4.8/5 (112 download)
Download or read book Smooth-automorphic Forms And Smooth-automorphic Representations written by Harald Grobner and published by World Scientific. This book was released on 2023-06-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a conceptual introduction into the representation theory of local and global groups, with final emphasis on automorphic representations of reductive groups G over number fields F.Our approach to automorphic representations differs from the usual literature: We do not consider 'K-finite' automorphic forms, but we allow a richer class of smooth functions of uniform moderate growth. Contrasting the usual approach, our space of 'smooth-automorphic forms' is intrinsic to the group scheme G/F.This setup also covers the advantage that a perfect representation-theoretical symmetry between the archimedean and non-archimedean places of the number field F is regained, by making the bigger space of smooth-automorphic forms into a proper, continuous representation of the full group of adelic points of G.Graduate students and researchers will find the covered topics appear for the first time in a book, where the theory of smooth-automorphic representations is robustly developed and presented in great detail.
Author : Daniel Bump
Publisher : Cambridge University Press
ISBN 13 : 9780521658188
Total Pages : 592 pages
Book Rating : 4.6/5 (581 download)
Download or read book Automorphic Forms and Representations written by Daniel Bump and published by Cambridge University Press. This book was released on 1998-11-28 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes advanced graduate students from the foundations to topics on the research frontier.
Author : Lizhen Ji
Publisher : American Mathematical Soc.
ISBN 13 : 9780821841983
Total Pages : 239 pages
Book Rating : 4.8/5 (419 download)
Download or read book Lie Groups and Automorphic Forms written by Lizhen Ji and published by American Mathematical Soc.. This book was released on 2006 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Paul Garrett
Publisher : Cambridge University Press
ISBN 13 : 1107154006
Total Pages : 407 pages
Book Rating : 4.1/5 (71 download)
Download or read book Modern Analysis of Automorphic Forms By Example written by Paul Garrett and published by Cambridge University Press. This book was released on 2018-09-20 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1 of a two-volume introduction to the analytical aspects of automorphic forms, featuring proofs of critical results with examples.
Author : Paul Garrett
Publisher : Cambridge University Press
ISBN 13 : 1108669212
Total Pages : 367 pages
Book Rating : 4.1/5 (86 download)
Download or read book Modern Analysis of Automorphic Forms By Example: Volume 2 written by Paul Garrett and published by Cambridge University Press. This book was released on 2018-09-20 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is Volume 2 of a two-volume book that provides a self-contained introduction to the theory and application of automorphic forms, using examples to illustrate several critical analytical concepts surrounding and supporting the theory of automorphic forms. The two-volume book treats three instances, starting with some small unimodular examples, followed by adelic GL2, and finally GLn. Volume 2 features critical results, which are proven carefully and in detail, including automorphic Green's functions, metrics and topologies on natural function spaces, unbounded operators, vector-valued integrals, vector-valued holomorphic functions, and asymptotics. Volume 1 features discrete decomposition of cuspforms, meromorphic continuation of Eisenstein series, spectral decomposition of pseudo-Eisenstein series, and automorphic Plancherel theorem. With numerous proofs and extensive examples, this classroom-tested introductory text is meant for a second-year or advanced graduate course in automorphic forms, and also as a resource for researchers working in automorphic forms, analytic number theory, and related fields.
Author : Jean-Pierre Labesse
Publisher : Springer
ISBN 13 : 3540468765
Total Pages : 358 pages
Book Rating : 4.5/5 (44 download)
Download or read book Cohomology of Arithmetic Groups and Automorphic Forms written by Jean-Pierre Labesse and published by Springer. This book was released on 2006-11-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : A. L. Onishchik
Publisher : European Mathematical Society
ISBN 13 : 9783037190029
Total Pages : 100 pages
Book Rating : 4.1/5 (9 download)
Download or read book Lectures on Real Semisimple Lie Algebras and Their Representations written by A. L. Onishchik and published by European Mathematical Society. This book was released on 2004 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book begins with a simplified (and somewhat extended and corrected) exposition of the main results of F. Karpelevich's 1955 paper and relates them to the theory of Cartan-Iwahori. It concludes with some tables, where an involution of the Dynkin diagram that allows for finding self-conjugate representations is described and explicit formulas for the index are given. In a short addendum, written by J. V. Silhan, this involution is interpreted in terms of the Satake diagram.
