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:  

9781108481489


Pages:   264
Publication Date:   05 March 2020
Format:   Hardback
Availability:   Manufactured on demand   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: 15.60cm , Height: 1.90cm , Length: 23.40cm
Weight:   0.490kg
ISBN:  

9781108481489


ISBN 10:   1108481485
Pages:   264
Publication Date:   05 March 2020
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

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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