Representation Theory And Complex Analysis

Author : Michael Cowling
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 45,8 Mb
Release : 2008-02-27
Category : Mathematics
ISBN : 9783540768913

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Representation Theory and Complex Analysis by Michael Cowling Pdf

Six leading experts lecture on a wide spectrum of recent results on the subject of the title. They present a survey of various interactions between representation theory and harmonic analysis on semisimple groups and symmetric spaces, and recall the concept of amenability. They further illustrate how representation theory is related to quantum computing; and much more. Taken together, this volume provides both a solid reference and deep insights on current research activity.

Author : Bernhard Krötz,Omer Offen,Eitan Sayag
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 40,6 Mb
Release : 2011-12-13
Category : Mathematics
ISBN : 9780817648169

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Representation Theory, Complex Analysis, and Integral Geometry by Bernhard Krötz,Omer Offen,Eitan Sayag Pdf

This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory.

Author : Bernhard Krötz,Omer Offen,Eitan Sayag
Publisher : Birkhäuser
Page : 128 pages
File Size : 42,6 Mb
Release : 2021-01-07
Category : Mathematics
ISBN : 0817648186

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Advances in Representation Theory, Complex Analysis, and Integral Geometry by Bernhard Krötz,Omer Offen,Eitan Sayag Pdf

This volume consists of contributions invited articles from the MPI-summer program on representation theory in 2007. There will be an even mix of high quality overview articles and original research contributions. The targeted audience is graduate students and researchers in representation theory, harmonic analysis, automorphic forms, number theory, and locally symmetric spaces.

Author : Franziska Klügl,Ana L. C. Bazzan,Sascha Ossowski
Publisher : Unknown
Page : 209 pages
File Size : 44,5 Mb
Release : 2005
Category : Electronic books
ISBN : 0817672583

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Applications of Agent Technology in Traffic and Transportation by Franziska Klügl,Ana L. C. Bazzan,Sascha Ossowski Pdf

Author : Neil Chriss
Publisher : Birkhauser
Page : 495 pages
File Size : 52,7 Mb
Release : 1997
Category : Mathematics
ISBN : 9780817637927

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Representation Theory and Complex Geometry by Neil Chriss Pdf

This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.

Author : Michael Cowling,Edward Frenkel,Masaki Kashiwara
Publisher : Unknown
Page : 404 pages
File Size : 46,9 Mb
Release : 2008-08-12
Category : Electronic
ISBN : 3540846123

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Representation Theory and Complex Analysis by Michael Cowling,Edward Frenkel,Masaki Kashiwara Pdf

Author : A.A. Kirillov
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 46,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662097564

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Representation Theory and Noncommutative Harmonic Analysis II by A.A. Kirillov Pdf

Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.

Author : Anonim
Publisher : Unknown
Page : 380 pages
File Size : 40,6 Mb
Release : 2008
Category : Harmonic analysis
ISBN : OCLC:191759986

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Representation Theory and Complex Analysis by Anonim Pdf

Author : Pavel I. Etingof,Oleg Golberg,Sebastian Hensel ,Tiankai Liu ,Alex Schwendner ,Dmitry Vaintrob ,Elena Yudovina
Publisher : American Mathematical Soc.
Page : 228 pages
File Size : 42,5 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821853511

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Introduction to Representation Theory by Pavel I. Etingof,Oleg Golberg,Sebastian Hensel ,Tiankai Liu ,Alex Schwendner ,Dmitry Vaintrob ,Elena Yudovina Pdf

Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Author : Anonim
Publisher : Elsevier
Page : 343 pages
File Size : 52,5 Mb
Release : 1996-09-27
Category : Mathematics
ISBN : 9780080526959

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Algebraic and Analytic Methods in Representation Theory by Anonim Pdf

This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike. Presents several different points of view on key topics in representation theory, from internationally known experts in the field

Author : Paul Sally,David A. Vogan
Publisher : American Mathematical Soc.
Page : 350 pages
File Size : 50,7 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821815267

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Representation Theory and Harmonic Analysis on Semisimple Lie Groups by Paul Sally,David A. Vogan Pdf

This book brings together five papers that have been influential in the study of Lie groups. Though published more than 20 years ago, these papers made fundamental contributions that deserve much broader exposure. In addition, the subsequent literature that has subsumed these papers cannot replace the originality and vitality they contain. The editors have provided a brief introduction to each paper, as well as a synopsis of the major developments which have occurred in the area covered by each paper. Included here are the doctoral theses of Arthur, Osborne, and Schmid. Arthur's thesis is closely related to Trombi's paper insofar as both deal with harmonic analysis on real semisimple Lie groups, and, in particular, analysis on the Schwartz space of Harish-Chandra. Arthur's thesis is concerned with the image under the Fourier transform of the Schwartz space of a semisimple Lie group of real rank one, while Trombi's paper provides an expository account of the harmonic analysis associated to the decomposition of the Schwartz space under the regular representation. In his thesis, Osborne extends the Atiyah-Bott fixed point theorem for elliptic complexes to obtain a fixed point formula for complexes that are not elliptic. Schmid proves a generalization of the Borel-Weil theorem concerning an explicit and geometric realization of the irreducible representations of a compact, connected semisimple Lie group. Langlands's fundamental paper provides a classification of irreducible, admissible representations of real reductive Lie groups.

Author : Peter Webb
Publisher : Cambridge University Press
Page : 339 pages
File Size : 53,5 Mb
Release : 2016-08-19
Category : Mathematics
ISBN : 9781107162396

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A Course in Finite Group Representation Theory by Peter Webb Pdf

This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

Author : Christian Voigt,Robert Yuncken
Publisher : Springer Nature
Page : 382 pages
File Size : 48,5 Mb
Release : 2020-09-24
Category : Mathematics
ISBN : 9783030524630

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Complex Semisimple Quantum Groups and Representation Theory by Christian Voigt,Robert Yuncken Pdf

This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group. The main components are: - a thorough introduction to quantized universal enveloping algebras over general base fields and generic deformation parameters, including finite dimensional representation theory, the Poincaré-Birkhoff-Witt Theorem, the locally finite part, and the Harish-Chandra homomorphism, - the analytic theory of quantized complex semisimple Lie groups in terms of quantized algebras of functions and their duals, - algebraic representation theory in terms of category O, and - analytic representation theory of quantized complex semisimple groups. Given its scope, the book will be a valuable resource for both graduate students and researchers in the area of quantum groups.

Author : William Fulton,Joe Harris
Publisher : Springer Science & Business Media
Page : 616 pages
File Size : 55,8 Mb
Release : 1991
Category : Mathematics
ISBN : 0387974954

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Representation Theory by William Fulton,Joe Harris Pdf

Introducing finite-dimensional representations of Lie groups and Lie algebras, this example-oriented book works from representation theory of finite groups, through Lie groups and Lie algrbras to the finite dimensional representations of the classical groups.

Author : I. M. Gel'fand,M. I. Graev,N. Ya. Vilenkin
Publisher : Academic Press
Page : 468 pages
File Size : 44,6 Mb
Release : 2014-05-12
Category : Mathematics
ISBN : 9781483262253

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Integral Geometry and Representation Theory by I. M. Gel'fand,M. I. Graev,N. Ya. Vilenkin Pdf

Generalized Functions, Volume 5: Integral Geometry and Representation Theory is devoted to the theory of representations, focusing on the group of two-dimensional complex matrices of determinant one. This book emphasizes that the theory of representations is a good example of the use of algebraic and geometric methods in functional analysis, in which transformations are performed not on the points of a space, but on the functions defined on it. The topics discussed include Radon transform on a real affine space, integral transforms in the complex domain, and representations of the group of complex unimodular matrices in two dimensions. The properties of the Fourier transform on G, integral geometry in a space of constant curvature, harmonic analysis on spaces homogeneous with respect to the Lorentz Group, and invariance under translation and dilation are also described. This volume is suitable for mathematicians, specialists, and students learning integral geometry and representation theory.