Finite Reductive Groups: Related Structures and Representations

Cabanes, Marc, ed.

ISBN 10: 0817638857 / ISBN 13: 9780817638856

Published by Birkhauser, Boston, MA, 1997

About this Item

452 pp. Tightly bound. Corners not bumped. Text is free of markings. No ownership markings. Published without dust jacket. Book still in original publisher shrink wrap. This copy is smyth sewn. Smyth sewing is a method of bookbinding where groups of folded pages (referred to as signatures) are stitched together using binder thread. Each folded signature is sewn together individually with multiple stitches and then joined with other signatures to create the complete book block. This is the traditional and best method of bookbinding.

Seller Inventory # 029592

Bibliographic Details

• Title: Finite Reductive Groups: Related Structures and Representations
• Publisher: Birkhauser, Boston, MA
• Publication Date: 1997
• Language: English
• ISBN 10: 0817638857
• ISBN 13: 9780817638856
• Binding: Cloth
• Condition: Fine
• Dust Jacket Condition: Printed Boards

About this title

Synopsis

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.

From the Back Cover

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.