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Modular Representation Theory of Finite Groups : Proceedings of a Symposium Held at the University of Virginia, Charlottesville, May 8-15, 1998 :  Proceedings of a Symposium Held at the University of Virginia, Charlottesville, May 8-15, 1998 - Michael J. Collins

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

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

By: Michael J. Collins (Editor), Brian J. Parshall (Editor), L.L. Scott (Editor)

Hardcover

Published: 2001
For Ages: 22+ years old
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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 represenations 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 a valuable resource for all those working in the area, whether established researchers or graduate students who wish to gain general knowledge of the subject starting from a single source.

Prefacep. v
Lectures given during the Symposiump. ix
Modular Harish-Chandra series, Hecke algebras and (generalized) q-Schur algebrasp. 1
Tensor products and restrictions in type Ap. 67
Block theory via stable and Rickard equivalencesp. 101
Alperin's weight conjecture in terms of linear source modules and trivial source modulesp. 147
Alvis-Curtis duality as an equivalence of derived categoriesp. 157
Relating the cohomology of general linear groups and symmetric groupsp. 175
Generalized q-Schur algebras and the ways to approach themp. 189
Filtrations on projective modules for Iwahori-Hecke algebrasp. 211
Projective representations for some exceptional finite groups of Lie typep. 223
Splitting fields and twisted group rings for the finite general linear groupsp. 231
Irreducible tensor products of representations of finite quasi-simple groups of Lie typep. 239
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9783110163674
ISBN-10: 3110163675
Series: De Gruyter Proceedings in Mathematics
Audience: Professional
For Ages: 22+ years old
Format: Hardcover
Language: English
Number Of Pages: 274
Published: 2001
Publisher: De Gruyter
Country of Publication: DE
Dimensions (cm): 23.5 x 16.51  x 1.91
Weight (kg): 0.6