Modular Representations of Finite Groups of Lie Type
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Modular Representations of Finite Groups of Lie Type by James E. Humphreys
Book DescriptionFinite groups of Lie type encompass most of the finite simple groups. Their representations and characters have been studied intensively for half a century, though some key problems remain unsolved. This is the first comprehensive treatment of the representation theory of finite groups of Lie type over a field of the defining prime characteristic. As a subtheme, the relationship between ordinary and modular representations is explored, in the context of Deligne-Lusztig characters. One goal has been to make the subject more accessible to those working in neighbouring parts of group theory, number theory, and topology. Core material is treated in detail, but the later chapters emphasize informal exposition accompanied by examples and precise references.
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Book DetailsISBN: 9780521674546
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 22-Dec-2005
Country of Publication: United Kingdom
Books By Author James E. Humphreys
Reflection Groups and Coxeter Groups, Paperback (October 1992)» View all books by James E. Humphreys
A self-contained graduate textbook introducing the basic theory of Coxeter groups.
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Author Biography - James E. Humphreys
James E. Humphreys was born in Erie, Pennsylvania, and received his AB from Oberlin College, Ohio in 1961, and his PhD from Yale University, Connecticut in 1966. He has taught at the University of Oregon, Courant Institute of Mathematical Sciences, New York University, and the University of Massachusetts, Amherst (now retired). He visits the Institute of Advanced Studies, Princeton and Rutgers. He is the author of several graduate texts and monographs.
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