# [PDF] Modular Representations of Finite Groups of Lie Type (London Mathematical Society Lecture Note Series)

#### ISBN: 0521674549

#### Category: Tutorial

Posted on 2018-02-01, by luongquocchinh.

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Author: James E. Humphreys | Publisher: Cambridge University Press | Category: Mathematics | Language: English | Page: 250 | ISBN: 0521674549 | ISBN13: 9780521674546 |

**Description:**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.

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