Publisher description for Modular representations of finite groups of Lie type / James E. Humphreys.

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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.

Library of Congress subject headings for this publication:
Lie groups.
Modular representations of groups.
Finite simple groups.