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OverviewFull Product DetailsAuthor: 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: 9781108481489ISBN 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 ![]() We will order this item for you from a manufactured on demand supplier. Table of Contents1. 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 InformationFrançois 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. Tab Content 6Author Website:Countries AvailableAll regions |