Representations of Finite Groups of Lie Type
Author:   François Digne (Université de Picardie Jules Verne, Amiens) ,  Jean Michel (Centre National de la Recherche Scientifique (CNRS), Paris)
Publisher:   Cambridge University Press
Edition:   2nd Revised edition
ISBN:  

9781108722629


Pages:   264
Publication Date:   05 March 2020
Format:   Paperback
Availability:   Available To Order   Availability explained
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Representations of Finite Groups of Lie Type


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Author:   François Digne (Université de Picardie Jules Verne, Amiens) ,  Jean Michel (Centre National de la Recherche Scientifique (CNRS), Paris)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Edition:   2nd Revised edition
Dimensions:   Width: 15.30cm , Height: 1.50cm , Length: 22.70cm
Weight:   0.390kg
ISBN:  

9781108722629


ISBN 10:   1108722628
Pages:   264
Publication Date:   05 March 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Available To Order   Availability explained
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

1. Basic results on algebraic groups; 2. Structure theorems for reductive groups; 3. (B, N)-pairs; parabolic, Levi, and reductive subgroups; centralisers of semi-simple elements; 4. Rationality, the Frobenius endomorphism, the Lang–Steinberg theorem; 5. Harish–Chandra theory; 6. Iwahori–Hecke algebras; 7. The duality functor and the Steinberg character; 8. l-adic cohomology; 9. Deligne–Lusztig induction; the Mackey formula; 10. The character formula and other results on Deligne–Lusztig induction; 11. Geometric conjugacy and Lusztig series; 12. Regular elements; Gelfand–Graev representations; regular and semi-simple characters; 13. Green functions; 14. The decomposition of Deligne–Lusztig characters; References; Index.

Reviews

'... a useful resource for beginning graduate students in algebra as well as seasoned researchers.' Mathematical Reviews Clippings


'… a useful resource for beginning graduate students in algebra as well as seasoned researchers.' Mathematical Reviews Clippings '… clearly written; there are useful examples, motivational comments, and exercises scattered throughout the text.' Mark Hunacek, The Mathematical Gazette


Author Information

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.

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