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Modular Representations of Finite Groups of Lie Type
James E. Humphreys
出版
Cambridge University Press
, 2006
主題
Mathematics / Algebra / General
Mathematics / Finite Mathematics
Mathematics / Group Theory
ISBN
0521674549
9780521674546
URL
http://books.google.com.hk/books?id=kLd9f-tHOD8C&hl=&source=gbs_api
EBook
SAMPLE
註釋
Finite 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 neighboring parts of group theory, number theory, and topology.