Modular Representation Theory of Finite Groups: Proceedings of a Symposium held at the University of Virginia, Charlottesville, May 8-15, 1998

Published by De Gruyter 2001

Modular Representation Theory of Finite Groups

Proceedings of a Symposium held at the University of Virginia, Charlottesville, May 8-15, 1998

Edited by: Michael J. Collins , Brian J. Parshall and Leonard L. Scott

In the series De Gruyter Proceedings in Mathematics

https://doi.org/10.1515/9783110889161

Overview
Contents

About this book

This book is an outgrowth of a Research Symposium on the Modular Representation Theory of Finite Groups, held at the University of Virginia in May 1998. The main themes of this symposium were representations of groups of Lie type in nondefining (or cross) characteristic, and recent developments in block theory.

Series of lectures were given by M. Geck, A. Kleshchev and R. Rouquier, and their brief was to present material at the leading edge of research but accessible to graduate students working in the field. The first three articles are substantial expansions of their lectures, and each provides a complete account of a significant area of the subject together with an extensive bibliography. The remaining articles are based on some of the other lectures given at the symposium; some again are full surveys of the topic covered while others are short, but complete, research articles.

The opportunity has been taken to produce a book of enduring value so that this is not a conference proceedings in the conventional sense. Material has been updated so that this book, through its own content and in its extensive bibliographies, will serve as an invaluable resource for all those working in the area, whether established researchers or graduate students who wish to gain a general knowledge of the subject starting from a single source.

Topics

I-IV Requires Authentication Unlicensed Licensed Download PDF	I
Preface Requires Authentication Unlicensed Licensed Download PDF	V
Lectures given during the Symposium Requires Authentication Unlicensed Licensed Download PDF	IX
Table of Contents Requires Authentication Unlicensed Licensed Download PDF	XI
Modular Harish-Chandra series, Hecke algebras and (generalized) q-Schur algebras Meinolf Geek Requires Authentication Unlicensed Licensed Download PDF	1
Tensor products and restrictions in type A Jonathan Brundan and Alexander S. Kleshchev Requires Authentication Unlicensed Licensed Download PDF	67
Block theory via stable and Rickard equivalences Raphaël Rouquier Requires Authentication Unlicensed Licensed Download PDF	101
Alper in's weight conjecture in terms of linear source modules and trivial source modules Robert Boltje Requires Authentication Unlicensed Licensed Download PDF	147
Alvis-Curtis duality as an equivalence of derived categories Marc Cabanes and Jeremy Richard Requires Authentication Unlicensed Licensed Download PDF	157
Relating the cohomology of general linear groups and symmetric groups Stephen R. Doty and Daniel K. Nakano Requires Authentication Unlicensed Licensed Download PDF	175
Generalized q-Schur algebras and the ways to approach them Jie Du Requires Authentication Unlicensed Licensed Download PDF	189
Filtrations on projective modules for Iwahori-Hecke algebras Meinolf Geck and Raphaël Rouquier Requires Authentication Unlicensed Licensed Download PDF	211
Projective representations for some exceptional finite groups of Lie type Corneliu Hoffman Requires Authentication Unlicensed Licensed Download PDF	223
Splitting fields and twisted group rings for the finite general linear groups Nicholas J. Kuhn Requires Authentication Unlicensed Licensed Download PDF	231
Irreducible tensor products of representations of finite quasi-simple groups of Lie type Kay Magaard and Ρham Huu Tiep Requires Authentication Unlicensed Licensed Download PDF	239
References Requires Authentication Unlicensed Licensed Download PDF	261

(Deutsch)

Language: English
Publisher: De Gruyter
Edition: Reprint 2011
Pages
- Front matter: 12
- Main content: 262
Keywords: Algebra; Gruppe (Math.); Darstellung (Math.)

eBook

Published: July 11, 2011
ISBN: 9783110889161

Hardcover

Published: October 19, 2001
ISBN: 9783110163674