Representations of Real and P-adic Groups

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Author :
Publisher : World Scientific
ISBN 13 : 981238779X
Total Pages : 426 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Representations of Real and P-adic Groups by : Eng-chye Tan

Download or read book Representations of Real and P-adic Groups written by Eng-chye Tan and published by World Scientific. This book was released on 2004 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Tadi? from the University of Zagreb, Croatia; Jing-Song Huang from The Hong Kong University of Science and Technology, Hong Kong; Pavle Pand?i? from the University of Zagreb, Croatia; Chal Benson and Gail Ratcliff from East Carolina University, USA; and Roe Goodman from Rutgers University, USA.

Modern Trends in Algebra and Representation Theory

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Publisher : Cambridge University Press
ISBN 13 : 1009103474
Total Pages : 408 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Modern Trends in Algebra and Representation Theory by : David Jordan

Download or read book Modern Trends in Algebra and Representation Theory written by David Jordan and published by Cambridge University Press. This book was released on 2023-07-31 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Expanding upon the material delivered during the LMS Autumn Algebra School 2020, this volume reflects the fruitful connections between different aspects of representation theory. Each survey article addresses a specific subject from a modern angle, beginning with an exploration of the representation theory of associative algebras, followed by the coverage of important developments in Lie theory in the past two decades, before the final sections introduce the reader to three strikingly different aspects of group theory. Written at a level suitable for graduate students and researchers in related fields, this book provides pure mathematicians with a springboard into the vast and growing literature in each area.

Representations of Reductive Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 1470442841
Total Pages : 466 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Representations of Reductive Groups by : Avraham Aizenbud

Download or read book Representations of Reductive Groups written by Avraham Aizenbud and published by American Mathematical Soc.. This book was released on 2019-02-20 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Conference on Representation Theory and Algebraic Geometry, held in honor of Joseph Bernstein, from June 11–16, 2017, at the Weizmann Institute of Science and The Hebrew University of Jerusalem. The topics reflect the decisive and diverse impact of Bernstein on representation theory in its broadest scope. The themes include representations of p -adic groups and Hecke algebras in all characteristics, representations of real groups and supergroups, theta correspondence, and automorphic forms.

Ottawa Lectures on Admissible Representations of Reductive P-adic Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821885944
Total Pages : 217 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ottawa Lectures on Admissible Representations of Reductive P-adic Groups by : Clifton Cunningham

Download or read book Ottawa Lectures on Admissible Representations of Reductive P-adic Groups written by Clifton Cunningham and published by American Mathematical Soc.. This book was released on 2009-01-01 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Representation Theory of Real Reductive Lie Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821843664
Total Pages : 258 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representation Theory of Real Reductive Lie Groups by : James Arthur

Download or read book Representation Theory of Real Reductive Lie Groups written by James Arthur and published by American Mathematical Soc.. This book was released on 2008 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The representation theory of real reductive groups is still incomplete, in spite of much progress made thus far. The papers in this volume were presented at The AMS-IMS-SIAM Joint Summer Research Conference "Representation Theory of Real Reductive Lie Groups" held in Snowbird, Utah in June 2006, with the aim of elucidating the problems that remain, as well as explaining what tools have recently become available to solve them. They represent a significant improvement in the exposition of some of the most important (and often least accessible) aspects of the literature." "This volume will be of interest to graduate students working in the harmonic analysis and representation theory of Lie groups. It will also appeal to experts working in closely related fields."--BOOK JACKET.

Automorphic Forms on GL (3,TR)

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Publisher : Springer
ISBN 13 : 3540390553
Total Pages : 196 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Automorphic Forms on GL (3,TR) by : D. Bump

Download or read book Automorphic Forms on GL (3,TR) written by D. Bump and published by Springer. This book was released on 2006-12-08 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry and Representation Theory of Real and p-adic groups

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461241626
Total Pages : 330 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometry and Representation Theory of Real and p-adic groups by : Juan Tirao

Download or read book Geometry and Representation Theory of Real and p-adic groups written by Juan Tirao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The representation theory of Lie groups plays a central role in both clas sical and recent developments in many parts of mathematics and physics. In August, 1995, the Fifth Workshop on Representation Theory of Lie Groups and its Applications took place at the Universidad Nacional de Cordoba in Argentina. Organized by Joseph Wolf, Nolan Wallach, Roberto Miatello, Juan Tirao, and Jorge Vargas, the workshop offered expository courses on current research, and individual lectures on more specialized topics. The present vol ume reflects the dual character of the workshop. Many of the articles will be accessible to graduate students and others entering the field. Here is a rough outline of the mathematical content. (The editors beg the indulgence of the readers for any lapses in this preface in the high standards of historical and mathematical accuracy that were imposed on the authors of the articles. ) Connections between flag varieties and representation theory for real re ductive groups have been studied for almost fifty years, from the work of Gelfand and Naimark on principal series representations to that of Beilinson and Bernstein on localization. The article of Wolf provides a detailed introduc tion to the analytic side of these developments. He describes the construction of standard tempered representations in terms of square-integrable partially harmonic forms (on certain real group orbits on a flag variety), and outlines the ingredients in the Plancherel formula. Finally, he describes recent work on the complex geometry of real group orbits on partial flag varieties.

Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821875620
Total Pages : 168 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups by : Matthew J. Emerton

Download or read book Locally Analytic Vectors in Representations of Locally $p$-adic Analytic Groups written by Matthew J. Emerton and published by American Mathematical Soc.. This book was released on 2017-07-13 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this memoir is to provide the foundations for the locally analytic representation theory that is required in three of the author's other papers on this topic. In the course of writing those papers the author found it useful to adopt a particular point of view on locally analytic representation theory: namely, regarding a locally analytic representation as being the inductive limit of its subspaces of analytic vectors (of various “radii of analyticity”). The author uses the analysis of these subspaces as one of the basic tools in his study of such representations. Thus in this memoir he presents a development of locally analytic representation theory built around this point of view. The author has made a deliberate effort to keep the exposition reasonably self-contained and hopes that this will be of some benefit to the reader.

Representation Theory of Lie Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886908
Total Pages : 356 pages
Book Rating : 4.8/5 (869 download)

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Book Synopsis Representation Theory of Lie Groups by : Jeffrey Adams, David Vogan

Download or read book Representation Theory of Lie Groups written by Jeffrey Adams, David Vogan and published by American Mathematical Soc.. This book was released on 2000-01-25 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains written versions of the lectures given at the PCMI Graduate Summer School on the representation theory of Lie groups. The volume begins with lectures by A. Knapp and P. Trapa outlining the state of the subject around the year 1975, specifically, the fundamental results of Harish-Chandra on the general structure of infinite-dimensional representations and the Langlands classification. Additional contributions outline developments in four of the most active areas of research over the past 20 years. The clearly written articles present results to date, as follows: R. Zierau and L. Barchini discuss the construction of representations on Dolbeault cohomology spaces. D. Vogan describes the status of the Kirillov-Kostant ``philosophy of coadjoint orbits'' for unitary representations. K. Vilonen presents recent advances in the Beilinson-Bernstein theory of ``localization''. And Jian-Shu Li covers Howe's theory of ``dual reductive pairs''. Each contributor to the volume presents the topics in a unique, comprehensive, and accessible manner geared toward advanced graduate students and researchers. Students should have completed the standard introductory graduate courses for full comprehension of the work. The book would also serve well as a supplementary text for a course on introductory infinite-dimensional representation theory.

Representations of Algebraic Groups

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 082184377X
Total Pages : 594 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Representations of Algebraic Groups by : Jens Carsten Jantzen

Download or read book Representations of Algebraic Groups written by Jens Carsten Jantzen and published by American Mathematical Soc.. This book was released on 2003 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Families of Automorphic Forms and the Trace Formula

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Publisher : Springer
ISBN 13 : 3319414240
Total Pages : 581 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Families of Automorphic Forms and the Trace Formula by : Werner Müller

Download or read book Families of Automorphic Forms and the Trace Formula written by Werner Müller and published by Springer. This book was released on 2016-09-20 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each peer-reviewed submission in this volume, based on the Simons Foundation symposium on families of automorphic forms and the trace formula held in Puerto Rico in January-February 2014, is the product of intensive research collaboration by the participants over the course of the seven-day workshop. The goal of each session in the symposium was to bring together researchers with diverse specialties in order to identify key difficulties as well as fruitful approaches being explored in the field. The respective themes were counting cohomological forms, p-adic trace formulas, Hecke fields, slopes of modular forms, and orbital integrals.

Automorphic Forms, Representations and $L$-Functions

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821814370
Total Pages : 394 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Automorphic Forms, Representations and $L$-Functions by : Armand Borel

Download or read book Automorphic Forms, Representations and $L$-Functions written by Armand Borel and published by American Mathematical Soc.. This book was released on 1979-06-30 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: Part 2 contains sections on Automorphic representations and $L$-functions, Arithmetical algebraic geometry and $L$-functions

Arthur's Invariant Trace Formula and Comparison of Inner Forms

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Publisher : Birkhäuser
ISBN 13 : 3319315935
Total Pages : 573 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Arthur's Invariant Trace Formula and Comparison of Inner Forms by : Yuval Z. Flicker

Download or read book Arthur's Invariant Trace Formula and Comparison of Inner Forms written by Yuval Z. Flicker and published by Birkhäuser. This book was released on 2016-09-14 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides an accessible and comprehensive introduction to James Arthur’s invariant trace formula, a crucial tool in the theory of automorphic representations. It synthesizes two decades of Arthur’s research and writing into one volume, treating a highly detailed and often difficult subject in a clearer and more uniform manner without sacrificing any technical details. The book begins with a brief overview of Arthur’s work and a proof of the correspondence between GL(n) and its inner forms in general. Subsequent chapters develop the invariant trace formula in a form fit for applications, starting with Arthur’s proof of the basic, non-invariant trace formula, followed by a study of the non-invariance of the terms in the basic trace formula, and, finally, an in-depth look at the development of the invariant formula. The final chapter illustrates the use of the formula by comparing it for G’ = GL(n) and its inner form G and for functions with matching orbital integrals.bribr/i/idiviiArthur’s Invariant Trace Formula and Comparison of Inner Forms/div

Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups

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Publisher : American Mathematical Soc.
ISBN 13 : 147041225X
Total Pages : 282 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups by : Armand Borel

Download or read book Continuous Cohomology, Discrete Subgroups, and Representations of Reductive Groups written by Armand Borel and published by American Mathematical Soc.. This book was released on 2013-11-21 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been nearly twenty years since the first edition of this work. In the intervening years, there has been immense progress in the use of homological algebra to construct admissible representations and in the study of arithmetic groups. This second edition is a corrected and expanded version of the original, which was an important catalyst in the expansion of the field. Besides the fundamental material on cohomology and discrete subgroups present in the first edition, this edition also contains expositions of some of the most important developments of the last two decades.

Ultrametric Functional Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821833200
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Ultrametric Functional Analysis by : Wilhelmus Hendricus Schikhof

Download or read book Ultrametric Functional Analysis written by Wilhelmus Hendricus Schikhof and published by American Mathematical Soc.. This book was released on 2003 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains research articles based on lectures given at the Seventh International Conference on $p$-adic Functional Analysis. The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, Banach-Hopf algebras, Cauchy theory of Levi-Civita fields, finite differences, weighted means, $p$-adic dynamical systems, and non-Archimedean probability theory and stochastic processes. The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of $p$-adic groups.

Automorphic Representations, L-Functions and Applications: Progress and Prospects

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110892707
Total Pages : 441 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Automorphic Representations, L-Functions and Applications: Progress and Prospects by : James W. Cogdell

Download or read book Automorphic Representations, L-Functions and Applications: Progress and Prospects written by James W. Cogdell and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the conference on Automorphic Representations, L-functions and Applications: Progress and Prospects, held at the Department of Mathematics of The Ohio State University, March 27–30, 2003, in honor of the 60th birthday of Steve Rallis. The theory of automorphic representations, automorphic L-functions and their applications to arithmetic continues to be an area of vigorous and fruitful research. The contributed papers in this volume represent many of the most recent developments and directions, including Rankin–Selberg L-functions (Bump, Ginzburg–Jiang–Rallis, Lapid–Rallis) the relative trace formula (Jacquet, Mao–Rallis) automorphic representations (Gan–Gurevich, Ginzburg–Rallis–Soudry) representation theory of p-adic groups (Baruch, Kudla–Rallis, Mœglin, Cogdell–Piatetski-Shapiro–Shahidi) p-adic methods (Harris–Li–Skinner, Vigneras), and arithmetic applications (Chinta–Friedberg–Hoffstein). The survey articles by Bump, on the Rankin–Selberg method, and by Jacquet, on the relative trace formula, should be particularly useful as an introduction to the key ideas about these important topics. This volume should be of interest both to researchers and students in the area of automorphic representations, as well as to mathematicians in other areas interested in having an overview of current developments in this important field.

A Panorama of Pure Mathematics, As Seen by N. Bourbaki

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Author :
Publisher : Academic Press
ISBN 13 : 0080874134
Total Pages : 301 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis A Panorama of Pure Mathematics, As Seen by N. Bourbaki by :

Download or read book A Panorama of Pure Mathematics, As Seen by N. Bourbaki written by and published by Academic Press. This book was released on 1982-08-18 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Panorama of Pure Mathematics, As Seen by N. Bourbaki