Author : George Lusztig
Publisher : Princeton University Press
Page : 408 pages
File Size : 16,30 MB
Release : 2016-03-02
Category : Mathematics
ISBN : 1400881773
This book presents a classification of all (complex) irreducible representations of a reductive group with connected centre, over a finite field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups.
Author : George Lusztig
Publisher : Princeton University Press
Page : 412 pages
File Size : 27,78 MB
Release : 1984-06-21
Category : Mathematics
ISBN : 9780691083513
This book presents a classification of all (complex) irreducible representations of a reductive group with connected centre, over a finite field. To achieve this, the author uses etale intersection cohomology, and detailed information on representations of Weyl groups.
Author : Marc Cabanes
Publisher : Cambridge University Press
Page : 457 pages
File Size : 18,2 MB
Release : 2004-01-29
Category : Mathematics
ISBN : 0521825172
Publisher Description
Author : Roger W. Carter
Publisher : Cambridge University Press
Page : 203 pages
File Size : 34,65 MB
Release : 1998-09-03
Category : Mathematics
ISBN : 0521643252
This volume provides a very accessible introduction to the representation theory of reductive algebraic groups.
Author : Chat Yin Ho
Publisher : Walter de Gruyter
Page : 434 pages
File Size : 38,48 MB
Release : 2008-08-22
Category : Mathematics
ISBN : 3110198126
This is a volume of research articles related to finite groups. Topics covered include the classification of finite simple groups, the theory of p-groups, cohomology of groups, representation theory and the theory of buildings and geometries. As well as more than twenty original papers on the latest developments, which will be of great interest to specialists, the volume contains several expository articles, from which students and non-experts can learn about the present state of knowledge and promising directions for further research. The Finite Groups 2003 conference was held in honor of John Thompson. The profound influence of his fundamental contributions is clearly visible in this collection of papers dedicated to him.
Author : Marc Cabanes
Publisher : Springer Science & Business Media
Page : 455 pages
File Size : 26,36 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1461241243
Finite reductive groups and their representations lie at the heart of group theory. This volume treats linear representations of finite reductive groups and their modular aspects together with Hecke algebras, complex reflection groups, quantum groups, arithmetic groups, Lie groups, symmetric groups and general finite groups.
Author : François Digne
Publisher : Cambridge University Press
Page : 267 pages
File Size : 43,51 MB
Release : 2020-03-05
Category : Mathematics
ISBN : 1108481485
An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.
Author : Donald G. Babbitt
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 16,99 MB
Release :
Category : Mathematics
ISBN : 9780821895191
This collection of reprinted 'Featured Reviews' published in Mathematical Reviews (MR) in 1995 and 1996 makes widely available informed reviews of some of the best mathematics published recently. 'Featured Reviews' were introduced in MR at the beginning of 1995 in part to provide some guidance to the current research-level literature. With the exponential growth of publications in mathematical research in the first half-century of MR, it had become essentially impossible for users of MR to identify the most important new research-level books and papers, especially in fields outside of the users' own expertise. This work identifies some of the "best" new publications, papers, and books that are expected to have a significant impact on the area of pure or applied mathematics with which researchers are concerned. All of the papers reviewed here contain interesting new ideas or applications, a deep synthesis of existing ideas, or any combination of these. The volume is intended to lead the user to important new research across all fields covered by MR.
Author : Reinhardt Kiehl
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 18,28 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 3662045761
The authors describe the important generalization of the original Weil conjectures, as given by P. Deligne in his fundamental paper "La conjecture de Weil II". The authors follow the important and beautiful methods of Laumon and Brylinski which lead to a simplification of Deligne's theory. Deligne's work is closely related to the sheaf theoretic theory of perverse sheaves. In this framework Deligne's results on global weights and his notion of purity of complexes obtain a satisfactory and final form. Therefore the authors include the complete theory of middle perverse sheaves. In this part, the l-adic Fourier transform is introduced as a technique providing natural and simple proofs. To round things off, there are three chapters with significant applications of these theories.
Author : Paul Fong
Publisher : American Mathematical Soc.
Page : 501 pages
File Size : 19,45 MB
Release : 1987
Category : Mathematics
ISBN : 082181477X
The papers in these proceedings of the 1986 Arcata Summer Institute bear witness to the extraordinarily vital and intense research in the representation theory of finite groups. The confluence of diverse mathematical disciplines has brought forth work of great scope and depth. Particularly striking is the influence of algebraic geometry and cohomology theory in the modular representation theory and the character theory of reductive groups over finite fields, and in the general modular representation theory of finite groups. The continuing developments in block theory and the general character theory of finite groups is noteworthy. The expository and research aspects of the Summer Institute are well represented by these papers.
