Algebraic And Analytic Methods In Representation Theory

Author :
Publisher : Elsevier
ISBN 13 : 0080526950
Total Pages : 343 pages
Book Rating : 4.59/5 ( download)

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Download or read book Algebraic and Analytic Methods in Representation Theory written by and published by Elsevier. This book was released on 1996-09-27 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Geoffrey Mason
Publisher : Springer
ISBN 13 : 3319099345
Total Pages : 274 pages
Book Rating : 4.47/5 ( download)

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Download or read book Developments and Retrospectives in Lie Theory written by Geoffrey Mason and published by Springer. This book was released on 2014-11-12 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Lie Theory Workshop, founded by Joe Wolf (UC, Berkeley), has been running for over two decades. At the beginning, the top universities in California and Utah hosted the meetings, which continue to run on a quarterly basis. Experts in representation theory/Lie theory from various parts of the US, Europe, Asia (China, Japan, Singapore, Russia), Canada, and South and Central America were routinely invited to give talks at these meetings. Nowadays, the workshops are also hosted at universities in Louisiana, Virginia, and Oklahoma. These Lie theory workshops have been sponsored by the NSF, noting the talks have been seminal in describing new perspectives in the field covering broad areas of current research. The contributors have all participated in these Lie theory workshops and include in this volume expository articles which will cover representation theory from the algebraic, geometric, analytic, and topological perspectives with also important connections to math physics. These survey articles, review and update the prominent seminal series of workshops in representation/Lie theory mentioned above, and reflects the widespread influence of those workshops in such areas as harmonic analysis, representation theory, differential geometry, algebraic geometry, number theory, and mathematical physics. Many of the contributors have had prominent roles in both the classical and modern developments of Lie theory and its applications.

Author : Debabrata Basu
Publisher : World Scientific
ISBN 13 : 9814273309
Total Pages : 386 pages
Book Rating : 4.05/5 ( download)

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Download or read book Introduction to Classical and Modern Analysis and Their Application to Group Representation Theory written by Debabrata Basu and published by World Scientific. This book was released on 2011 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is suitable for use in any graduate course on analytical methods and their application to representation theory. Each concept is developed with special emphasis on lucidity and clarity. The book also shows the direct link of Cauchy?Pochhammer theory with the Hadamard?Reisz?Schwartz?Gel'fand et al. regularization. The flaw in earlier works on the Plancheral formula for the universal covering group of SL(2, R) is pointed out and rectified. This topic appears here for the first time in the correct form.Existing treatises are essentially magnum opus of the experts, intended for other experts in the field. This book, on the other hand, is unique insofar as every chapter deals with topics in a way that differs remarkably from traditional treatment. For example, Chapter 3 presents the Cauchy?Pochhammer theory of gamma, beta and zeta function in a form which has not been presented so far in any treatise of classical analysis.

Author : Steven H. Weintraub
Publisher : American Mathematical Soc.
ISBN 13 : 0821832220
Total Pages : 226 pages
Book Rating : 4.26/5 ( download)

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Download or read book Representation Theory of Finite Groups: Algebra and Arithmetic written by Steven H. Weintraub and published by American Mathematical Soc.. This book was released on 2003 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: ``We explore widely in the valley of ordinary representations, and we take the reader over the mountain pass leading to the valley of modular representations, to a point from which (s)he can survey this valley, but we do not attempt to widely explore it. We hope the reader will be sufficiently fascinated by the scenery to further explore both valleys on his/her own.'' --from the Preface Representation theory plays important roles in geometry, algebra, analysis, and mathematical physics. In particular, representation theory has been one of the great tools in the study and classification of finite groups. There are some beautiful results that come from representation theory: Frobenius's Theorem, Burnside's Theorem, Artin's Theorem, Brauer's Theorem--all of which are covered in this textbook. Some seem uninspiring at first, but prove to be quite useful. Others are clearly deep from the outset. And when a group (finite or otherwise) acts on something else (as a set of symmetries, for example), one ends up with a natural representation of the group. This book is an introduction to the representation theory of finite groups from an algebraic point of view, regarding representations as modules over the group algebra. The approach is to develop the requisite algebra in reasonable generality and then to specialize it to the case of group representations. Methods and results particular to group representations, such as characters and induced representations, are developed in depth. Arithmetic comes into play when considering the field of definition of a representation, especially for subfields of the complex numbers. The book has an extensive development of the semisimple case, where the characteristic of the field is zero or is prime to the order of the group, and builds the foundations of the modular case, where the characteristic of the field divides the order of the group. The book assumes only the material of a standard graduate course in algebra. It is suitable as a text for a year-long graduate course. The subject is of interest to students of algebra, number theory and algebraic geometry. The systematic treatment presented here makes the book also valuable as a reference.

Author : Charles W. Curtis
Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.05/5 ( download)

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Download or read book Methods of Representation Theory written by Charles W. Curtis and published by Wiley-Interscience. This book was released on 1981 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and expanded, this second volume presents a modern treatment of finite groups and orders. It covers classical, modular and integral representation theory and contains many important new results. Beginning with an introductory review of ring theory, algebraic number theory, and homological algebra, the book then moves on to other topics such as modular representations and integral representation theory. Also covered are class groups and Picard groups, the theory of blocks, rationality questions, indecomposable modules and more.

Author : Raul E. Curto
Publisher : Springer Science & Business Media
ISBN 13 : 1461202558
Total Pages : 360 pages
Book Rating : 4.54/5 ( download)

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Download or read book Algebraic Methods in Operator Theory written by Raul E. Curto and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of operators stands at the intersection of the frontiers of modern analysis and its classical counterparts; of algebra and quantum mechanics; of spectral theory and partial differential equations; of the modern global approach to topology and geometry; of representation theory and harmonic analysis; and of dynamical systems and mathematical physics. The present collection of papers represents contributions to a conference, and they have been carefully selected with a view to bridging different but related areas of mathematics which have only recently displayed an unexpected network of interconnections, as well as new and exciting cross-fertilizations. Our unify ing theme is the algebraic view and approach to the study of operators and their applications. The complementarity between the diversity of topics on the one hand and the unity of ideas on the other has been stressed. Some of the longer contributions represent material from lectures (in expanded form and with proofs for the most part). However, the shorter papers, as well as the longer ones, are an integral part of the picture; they have all been carefully refereed and revised with a view to a unity of purpose, timeliness, readability, and broad appeal. Raul Curto and Paile E. T.

Author : Alina Bucur
Publisher : American Mathematical Soc.
ISBN 13 : 1470437848
Total Pages : 248 pages
Book Rating : 4.48/5 ( download)

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Download or read book Analytic Methods in Arithmetic Geometry written by Alina Bucur and published by American Mathematical Soc.. This book was released on 2019-11-22 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last decade or so, analytic methods have had great success in answering questions in arithmetic geometry and number theory. The School provided a unique opportunity to introduce graduate students to analytic methods in arithmetic geometry. The book contains four articles. Alina C. Cojocaru's article introduces sieving techniques to study the group structure of points of the reduction of an elliptic curve modulo a rational prime via its division fields. Harald A. Helfgott's article provides an introduction to the study of growth in groups of Lie type, with SL2(Fq) and some of its subgroups as the key examples. The article by Étienne Fouvry, Emmanuel Kowalski, Philippe Michel, and Will Sawin describes how a systematic use of the deep methods from ℓ-adic cohomology pioneered by Grothendieck and Deligne and further developed by Katz and Laumon help make progress on various classical questions from analytic number theory. The last article, by Andrew V. Sutherland, introduces Sato-Tate groups and explores their relationship with Galois representations, motivic L-functions, and Mumford-Tate groups.

Author : Francois Bergeron
Publisher : CRC Press
ISBN 13 : 1439865078
Total Pages : 227 pages
Book Rating : 4.71/5 ( download)

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Download or read book Algebraic Combinatorics and Coinvariant Spaces written by Francois Bergeron and published by CRC Press. This book was released on 2009-07-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for graduate students in mathematics or non-specialist mathematicians who wish to learn the basics about some of the most important current research in the field, this book provides an intensive, yet accessible, introduction to the subject of algebraic combinatorics. After recalling basic notions of combinatorics, representation theory, and

Author : Bernhard Krötz
Publisher : Springer Science & Business Media
ISBN 13 : 081764816X
Total Pages : 282 pages
Book Rating : 4.69/5 ( download)

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Download or read book Representation Theory, Complex Analysis, and Integral Geometry written by Bernhard Krötz and published by Springer Science & Business Media. This book was released on 2011-12-13 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume targets graduate students and researchers in the fields of representation theory, automorphic forms, Hecke algebras, harmonic analysis, number theory.

Author : Geoffrey Mason
Publisher :
ISBN 13 : 9783319098050
Total Pages : 408 pages
Book Rating : 4.55/5 ( download)

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Download or read book Developments and Retrospectives in Lie Theory written by Geoffrey Mason and published by . This book was released on 2014-11-30 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: