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Representations Of Sl2fq
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Book Synopsis Fourier Analysis on Finite Groups and Applications by : Audrey Terras
Download or read book Fourier Analysis on Finite Groups and Applications written by Audrey Terras and published by Cambridge University Press. This book was released on 1999-03-28 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Book Synopsis Representation Theory, Number Theory, and Invariant Theory by : Jim Cogdell
Download or read book Representation Theory, Number Theory, and Invariant Theory written by Jim Cogdell and published by Birkhäuser. This book was released on 2017-10-19 with total page 626 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected papers based on talks given at the "Representation Theory, Number Theory, and Invariant Theory" conference held at Yale University from June 1 to June 5, 2015. The meeting and this resulting volume are in honor of Professor Roger Howe, on the occasion of his 70th birthday, whose work and insights have been deeply influential in the development of these fields. The speakers who contributed to this work include Roger Howe's doctoral students, Roger Howe himself, and other world renowned mathematicians. Topics covered include automorphic forms, invariant theory, representation theory of reductive groups over local fields, and related subjects.
Book Synopsis Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications by : Donald St. P. Richards
Download or read book Hypergeometric Functions on Domains of Positivity, Jack Polynomials, and Applications written by Donald St. P. Richards and published by American Mathematical Soc.. This book was released on 1992 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first set of proceedings to be devoted entirely to the theory of hypergeometric functions defined on domains of positivity. Most of the scientific areas in which these functions are applied include analytic number theory, combinatorics, harmonic analysis, random walks, representation theory, and mathematical physics--are represented here. This volume is based largely on lectures presented at a Special Session at the AMS meeting in Tampa, Florida in March 1991, which was devoted to hypergeometric functions of matrix argument and to fostering communication among representatives of the diverse scientific areas in which these functions are utilized. Accessible to graduate students and others seeking an introduction to the state of the art in this area, this book is a suitable text for advanced graduate seminar courses for it contains many open problems.
Book Synopsis Elements of the Theory of Representations by : A. A. Kirillov
Download or read book Elements of the Theory of Representations written by A. A. Kirillov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: The translator of a mathematical work faces a task that is at once fascinating and frustrating. He has the opportunity of reading closely the work of a master mathematician. He has the duty of retaining as far as possible the flavor and spirit of the original, at the same time rendering it into a readable and idiomatic form of the language into which the translation is made. All of this is challenging. At the same time, the translator should never forget that he is not a creator, but only a mirror. His own viewpoints, his own preferences, should never lead him into altering the original, even with the best intentions. Only an occasional translator's note is permitted. The undersigned is grateful for the opportunity of translating Professor Kirillov's fine book on group representations, and hopes that it will bring to the English-reading mathematical public as much instruction and interest as it has brought to the translator. Deviations from the Russian text have been rigorously avoided, except for a number of corrections kindly supplied by Professor Kirillov. Misprints and an occasional solecism have been tacitly taken care of. The trans lation is in all essential respects faithful to the original Russian. The translator records his gratitude to Linda Sax, who typed the entire translation, to Laura Larsson, who prepared the bibliography (considerably modified from the original), and to Betty Underhill, who rendered essential assistance.
Book Synopsis Representations and Cohomology: Volume 2, Cohomology of Groups and Modules by : D. J. Benson
Download or read book Representations and Cohomology: Volume 2, Cohomology of Groups and Modules written by D. J. Benson and published by Cambridge University Press. This book was released on 1991-08-22 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Book Synopsis Representations of SL2(Fq) by : Cédric Bonnafé
Download or read book Representations of SL2(Fq) written by Cédric Bonnafé and published by Springer Science & Business Media. This book was released on 2010-10-08 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Invariant Theory of Finite Groups by : Mara D. Neusel
Download or read book Invariant Theory of Finite Groups written by Mara D. Neusel and published by American Mathematical Soc.. This book was released on 2010-03-08 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: The questions that have been at the center of invariant theory since the 19th century have revolved around the following themes: finiteness, computation, and special classes of invariants. This book begins with a survey of many concrete examples chosen from these themes in the algebraic, homological, and combinatorial context. In further chapters, the authors pick one or the other of these questions as a departure point and present the known answers, open problems, and methods and tools needed to obtain these answers. Chapter 2 deals with algebraic finiteness. Chapter 3 deals with combinatorial finiteness. Chapter 4 presents Noetherian finiteness. Chapter 5 addresses homological finiteness. Chapter 6 presents special classes of invariants, which deal with modular invariant theory and its particular problems and features. Chapter 7 collects results for special classes of invariants and coinvariants such as (pseudo) reflection groups and representations of low degree. If the ground field is finite, additional problems appear and are compensated for in part by the emergence of new tools. One of these is the Steenrod algebra, which the authors introduce in Chapter 8 to solve the inverse invariant theory problem, around which the authors have organized the last three chapters. The book contains numerous examples to illustrate the theory, often of more than passing interest, and an appendix on commutative graded algebra, which provides some of the required basic background. There is an extensive reference list to provide the reader with orientation to the vast literature.
Book Synopsis SL(2) Representations of Finitely Presented Groups by : Gregory W. Brumfiel
Download or read book SL(2) Representations of Finitely Presented Groups written by Gregory W. Brumfiel and published by . This book was released on 1995 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Compositio Mathematica written by and published by . This book was released on 2008 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Tullio Ceccherini-Silberstein Publisher :Cambridge University Press ISBN 13 :1316865401 Total Pages :590 pages Book Rating :4.3/5 (168 download)
Book Synopsis Discrete Harmonic Analysis by : Tullio Ceccherini-Silberstein
Download or read book Discrete Harmonic Analysis written by Tullio Ceccherini-Silberstein and published by Cambridge University Press. This book was released on 2018-05-31 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained book introduces readers to discrete harmonic analysis with an emphasis on the Discrete Fourier Transform and the Fast Fourier Transform on finite groups and finite fields, as well as their noncommutative versions. It also features applications to number theory, graph theory, and representation theory of finite groups. Beginning with elementary material on algebra and number theory, the book then delves into advanced topics from the frontiers of current research, including spectral analysis of the DFT, spectral graph theory and expanders, representation theory of finite groups and multiplicity-free triples, Tao's uncertainty principle for cyclic groups, harmonic analysis on GL(2,Fq), and applications of the Heisenberg group to DFT and FFT. With numerous examples, figures, and over 160 exercises to aid understanding, this book will be a valuable reference for graduate students and researchers in mathematics, engineering, and computer science.
Author :Societatea de Științe Matematice din Republica Socialistă România Publisher : ISBN 13 : Total Pages :308 pages Book Rating :4.3/5 (91 download)
Book Synopsis Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie by : Societatea de Științe Matematice din Republica Socialistă România
Download or read book Bulletin mathématique de la Société des sciences mathématiques de la République socialiste de Roumanie written by Societatea de Științe Matematice din Republica Socialistă România and published by . This book was released on 1983 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Bulletin mathématique de la Société des sciences mathématiques de la République Socialiste de Roumanie by :
Download or read book Bulletin mathématique de la Société des sciences mathématiques de la République Socialiste de Roumanie written by and published by . This book was released on 1983 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Revue Roumaine de Mathématiques Pures Et Appliquées by :
Download or read book Revue Roumaine de Mathématiques Pures Et Appliquées written by and published by . This book was released on 1984 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis New Developments in Lie Theory and Its Applications by : Carina Boyallian
Download or read book New Developments in Lie Theory and Its Applications written by Carina Boyallian and published by American Mathematical Soc.. This book was released on 2011 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on representation theory, harmonic analysis in Lie groups, and mathematical physics related to Lie theory. The papers give a broad overview of these subjects and also of the recent developments in research.
Book Synopsis Theory of Group Representations by : M.A. Naimark
Download or read book Theory of Group Representations written by M.A. Naimark and published by Springer. This book was released on 1982-04-07 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author's Preface to the Russian Edition This book is written for advanced students, for predoctoral graduate stu dents, and for professional scientists-mathematicians, physicists, and chemists-who desire to study the foundations of the theory of finite dimensional representations of groups. We suppose that the reader is familiar with linear algebra, with elementary mathematical analysis, and with the theory of analytic functions. All else that is needed for reading this book is set down in the book where it is needed or is provided for by references to standard texts. The first two chapters are devoted to the algebraic aspects of the theory of representations and to representations of finite groups. Later chapters take up the principal facts about representations of topological groups, as well as the theory of Lie groups and Lie algebras and their representations. We have arranged our material to help the reader to master first the easier parts of the theory and later the more difficult. In the author's opinion, however, it is algebra that lies at the heart of the whole theory. To keep the size of the book within reasonable bounds, we have limited ourselves to finite-dimensional representations. The author intends to devote another volume to a more general theory, which includes infinite dimensional representations.
Download or read book Mathematical Reviews written by and published by . This book was released on 1999 with total page 820 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Basic Structures of Function Field Arithmetic by : David Goss
Download or read book Basic Structures of Function Field Arithmetic written by David Goss and published by Springer Science & Business Media. This book was released on 1997-11-18 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss'clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062
