Articles liés à Representations of Finite Groups of Lie Type

Representations of Finite Groups of Lie Type - Couverture rigide

Livre 79 sur 83: London Mathematical Society Student Texts

Digne, François; Michel, Jean

 
9781108481489: Representations of Finite Groups of Lie Type
Couverture rigide
ISBN 10 : 1108481485 ISBN 13 : 9781108481489
Editeur : Cambridge University Press, 2020

Synopsis

On its original publication, this book provided the first elementary treatment of representation theory of finite groups of Lie type in book form. This second edition features new material to reflect the continuous evolution of the subject, including entirely new chapters on Hecke algebras, Green functions and Lusztig families. The authors cover the basic theory of representations of finite groups of Lie type, such as linear, unitary, orthogonal and symplectic groups. They emphasise the Curtis–Alvis duality map and Mackey's theorem and the results that can be deduced from it, before moving on to a discussion of Deligne–Lusztig induction and Lusztig's Jordan decomposition theorem for characters. The book contains the background information needed to make it a useful resource for beginning graduate students in algebra as well as seasoned researchers. It includes exercises and explicit examples.

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À propos des auteurs

François Digne is Emeritus Professor at the Université de Picardie Jules Verne, Amiens. He works on finite reductive groups, braid and Artin groups. He has also co-authored with Jean Michel the monograph Foundations of Garside Theory (2015) and several notable papers on Deligne–Lusztig varieties.

Jean Michel is Emeritus Director of Research at the Centre National de la Recherche Scientifique (CNRS), Paris. His research interests include reductive algebraic groups, in particular Deligne–Lusztig varieties, and Spetses and other objects attached to complex reflection groups. He has also co-authored with François Digne the monograph Foundations of Garside Theory (2015) and several notable papers on Deligne–Lusztig varieties.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Cambridge University Press
Date d'édition
2020
Langue
anglais
ISBN 10 
1108481485
ISBN 13 
9781108481489
Reliure
Relié
Numéro d'édition
2
Nombre de pages
264
Coordonnées du fabricant
non disponible
Personne responsable
Avery
https://www.avery.fr/

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