Author : Samuel M. Vovsi
Publisher : Cambridge University Press
Page : 218 pages
File Size : 46,17 MB
Release : 1991-11-28
Category : Mathematics
ISBN : 0521424100
This book is devoted to the theory of group representations, a young and promising area of modern algebra. It provides a detailed exposition of several central topics in the field, leading to the most current advances and developments. Much of the included material has never been available in book form before. It is intended for a broad audience of researchers and graduate students, working in abstract algebra and its many applications.
Author : Shrawan Kumar
Publisher : Springer Science & Business Media
Page : 630 pages
File Size : 26,57 MB
Release : 2002-09-10
Category : Mathematics
ISBN : 9780817642273
"Most of these topics appear here for the first time in book form. Many of them are interesting even in the classical case of semi-simple algebraic groups. Some appendices recall useful results from other areas, so the work may be considered self-contained, although some familiarity with semi-simple Lie algebras or algebraic groups is helpful. It is clear that this book is a valuable reference for all those interested in flag varieties and representation theory in the semi-simple or Kac-Moody case." —MATHEMATICAL REVIEWS "A lot of different topics are treated in this monumental work. . . . many of the topics of the book will be useful for those only interested in the finite-dimensional case. The book is self contained, but is on the level of advanced graduate students. . . . For the motivated reader who is willing to spend considerable time on the material, the book can be a gold mine. " —ZENTRALBLATT MATH
Author : Peter Webb
Publisher : Cambridge University Press
Page : 339 pages
File Size : 40,73 MB
Release : 2016-08-19
Category : Mathematics
ISBN : 1107162394
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 : Kang Zuo
Publisher : Springer
Page : 142 pages
File Size : 24,7 MB
Release : 2006-11-14
Category : Mathematics
ISBN : 3540484248
Using harmonic maps, non-linear PDE and techniques from algebraic geometry this book enables the reader to study the relation between fundamental groups and algebraic geometry invariants of algebraic varieties. The reader should have a basic knowledge of algebraic geometry and non-linear analysis. This book can form the basis for graduate level seminars in the area of topology of algebraic varieties. It also contains present new techniques for researchers working in this area.
Author : Sergio Albeverio
Publisher : Cambridge University Press
Page : 454 pages
File Size : 16,54 MB
Release : 2000-03-13
Category : Mathematics
ISBN : 9780521779128
This is a systematic mathematical study of differential (and more general self-adjoint) operators.
Author : Peter H. Kropholler
Publisher : Cambridge University Press
Page : 332 pages
File Size : 42,84 MB
Release : 1998-05-14
Category : Mathematics
ISBN : 052163556X
This volume reflects the fruitful connections between group theory and topology. It contains articles on cohomology, representation theory, geometric and combinatorial group theory. Some of the world's best known figures in this very active area of mathematics have made contributions, including substantial articles from Ol'shanskii, Mikhajlovskii, Carlson, Benson, Linnell, Wilson and Grigorchuk, which will be valuable reference works for some years to come. Pure mathematicians working in the fields of algebra, topology, and their interactions, will find this book of great interest.
Author : David M. Evans
Publisher : Cambridge University Press
Page : 232 pages
File Size : 32,73 MB
Release : 1997-07-10
Category : Mathematics
ISBN : 052158955X
Surveys recent interactions between model theory and other branches of mathematics, notably group theory.
Author : A. Martsinkovsky
Publisher : Cambridge University Press
Page : 148 pages
File Size : 29,15 MB
Release : 1997-05-15
Category : Mathematics
ISBN : 9780521577892
For any researcher working in representation theory, algebraic or arithmetic geometry.
Author : Frank Olaf Wagner
Publisher : Cambridge University Press
Page : 326 pages
File Size : 14,60 MB
Release : 1997-08-21
Category : Mathematics
ISBN : 9780521598392
In this book the general theory of stable groups is developed from the beginning.
Author : Evgenii I. Khukhro
Publisher : Cambridge University Press
Page : 226 pages
File Size : 26,90 MB
Release : 1998-02-13
Category : Mathematics
ISBN : 052159717X
Ideal for graduate students and researchers working in group theory and Lie rings.
