Representations of Finite Groups of Lie Type (Paperback) (ISBN-13: 9781108722629)

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.

Author: Fran輟is Digne, Jean Michel
ISBN-10: 1108722628
ISBN-13: 9781108722629
Publisher: Cambridge University Press
Language: English
Published: 03/05/2020
Pages: 264
Format: Paperback
Weight: 0.85lbs
Size: 9.10h x 6.00w x 0.70d