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Table of contents (16 papers)
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Front Matter
Keywords
About this book
Finite reductive groups and their representations lie at the heart of goup theory. After representations of finite general linear groups were determined by Green (1955), the subject was revolutionized by the introduction of constructions from l-adic cohomology by Deligne-Lusztig (1976) and by the approach of character-sheaves by Lusztig (1985). The theory now also incorporates the methods of Brauer for the linear representations of finite groups in arbitrary characteristic and the methods of representations of algebras. It has become one of the most active fields of contemporary mathematics.
The present volume reflects the richness of the work of experts gathered at an international conference held in Luminy. Linear representations of finite reductive groups (Aubert, Curtis-Shoji, Lehrer, Shoji) and their modular aspects Cabanes Enguehard, Geck-Hiss) go side by side with many related structures: Hecke algebras associated with Coxeter groups (Ariki, Geck-Rouquier, Pfeiffer), complex reflection groups (Broué-Michel, Malle), quantum groups and Hall algebras (Green), arithmetic groups (Vignéras), Lie groups (Cohen-Tiep), symmetric groups (Bessenrodt-Olsson), and general finite groups (Puig). With the illuminating introduction by Paul Fong, the present volume forms the best invitation to the field.
Editors and Affiliations
Bibliographic Information
Book Title: Finite Reductive Groups: Related Structures and Representations
Book Subtitle: Proceedings of an International Conference held in Luminy, France
Editors: Marc Cabanes
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-1-4612-4124-9
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Birkhäuser Boston 1997
Hardcover ISBN: 978-0-8176-3885-6Published: 01 December 1996
Softcover ISBN: 978-1-4612-8664-6Published: 01 July 2012
eBook ISBN: 978-1-4612-4124-9Published: 06 December 2012
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XII, 452
Topics: Group Theory and Generalizations, Associative Rings and Algebras, Algebraic Geometry