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Representations of Finite Groups of Lie Type: (London Mathematical Society Student Texts 2nd Revised edition)
By
Francois Digne (Author) Jean Michel (Author)
Paperback
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Description
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. Worked examples or Exercises; 6 Tables, black and white
About the Author
Francois Digne is Emeritus Professor at the Universite 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 Francois Digne the monograph Foundations of Garside Theory (2015) and several notable papers on Deligne-Lusztig varieties.
More Details
- Contributor: Francois Digne
- Imprint: Cambridge University Press
- ISBN13: 9781108722629
- Number of Pages: 264
- Packaged Dimensions: 153x227x15mm
- Packaged Weight: 390
- Format: Paperback
- Publisher: Cambridge University Press
- Release Date: 2020-03-05
- Series: London Mathematical Society Student Texts
- Binding: Paperback / softback
- Biography: Francois Digne is Emeritus Professor at the Universite 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 Francois Digne the monograph Foundations of Garside Theory (2015) and several notable papers on Deligne-Lusztig varieties.
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