Finite Reductive Groups: Related Structures and Representations: Proceedings of an International Conference held in Luminy, France: 141 - Rilegato

Rilegato

ISBN 10: 0817638857 ISBN 13: 9780817638856

Casa editrice: Springer Basel AG, 1996

Riassunto

This volume focuses on the representation theory of groups and related structures, combining the modular representation theory of finite groups of Richard Brauer and the representation theory of reductive groups of George Lusztig.

Su questo libro

Dalla quarta di copertina

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.

Dettagli dell'edizione

• Editore: Springer Basel AG
• Data di pubblicazione: 1996
• Lingua: Inglese
• ISBN 10: 0817638857
• ISBN 13: 9780817638856
• Rilegatura: Copertina rigida
• Numero di pagine: 468
• Redattore: Cabanes Marc
• Contatto del produttore: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Germania