An up-to-date and self-contained introduction based on a graduate course taught at the University of Paris.
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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.
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Hardcover. Zustand: Brand New. 2nd edition. 258 pages. 9.25x6.25x0.75 inches. In Stock. Artikel-Nr. x-1108481485
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9781108481489
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