Representations of Finite Groups of Lie Type - pr_1749393

Representations of Finite Groups of Lie Type

By Francois Digne, Jean Michel

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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.

Product code: 9781108722629

ISBN 9781108722629
Dimensions (HxWxD in mm) H227xW153xS15
No. Of Pages 264
Publisher Cambridge University Press
Series London Mathematical Society Student Texts
Edition 2nd Revised edition
The original edition of this book, written for beginning graduate students, was 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 chapters on Hecke algebras and Green functions.