Representations of Finite Groups of Lie Type
Language: English
Published by Cambridge University Press, GB, 2020
Series: Book 79 of 83 - London Mathematical Society Student Texts
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
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Add to basketItem description from seller
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.
Seller Inventory # LU-9781108481489
- Title
- Representations of Finite Groups of Lie Type
- Author
- François Digne, Jean Michel
- Publisher
- Cambridge University Press, GB
- Publication year
- 2020
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 1108481485
- ISBN 13
- 9781108481489
- Edition
- 2nd Edition
- Item weight
- 490 grams
- Series
- Book 79 of 83: London Mathematical Society Student Texts
"Synopsis" may belong to another edition of this title.
About the Author
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.
"About the title" may belong to another edition of this title.
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