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Representations of finite groups of Lie type

Record Type:	Electronic resources : Monograph/item
Title/Author:	Representations of finite groups of Lie typeFrançois Digne, Jean Michel.
Author:	Digne, François.
other author:	Michel, Jean.
Published:	Cambridge :Cambridge University Press,2020.
Description:	vii, 258 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 14 Feb 2020).
Subject:	Lie groups.
Online resource:	https://doi.org/10.1017/9781108673655
ISBN:	9781108673655

Representations of finite groups of Lie type
Digne, François.

Representations of finite groups of Lie type[electronic resource] /François Digne, Jean Michel. - Second edition. - Cambridge :Cambridge University Press,2020. - vii, 258 p. :ill., digital ;24 cm. - London Mathematical Society student texts ;95. - London Mathematical Society student texts ;81..

Title from publisher's bibliographic system (viewed on 14 Feb 2020).

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.

ISBN: 9781108673655Subjects--Topical Terms:

190898
Lie groups.

LC Class. No.: QA387 / .D54 2020

Dewey Class. No.: 512.482

Representations of finite groups of Lie type
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245 1 0 $a Representations of finite groups of Lie type $h [electronic resource] / $c François Digne, Jean Michel.
250 $a Second edition.
260 $a Cambridge : $b Cambridge University Press, $c 2020.
300 $a vii, 258 p. : $b ill., digital ; $c 24 cm.
490 1 $a London Mathematical Society student texts ; $v 95
500 $a Title from publisher's bibliographic system (viewed on 14 Feb 2020).
520 $a 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.
650 0 $a Lie groups. $3 190898
650 0 $a Representations of groups. $3 191076
700 1 $a Michel, Jean. $3 592133
830 0 $a London Mathematical Society student texts ; $v 81. $3 810761
856 4 0 $u https://doi.org/10.1017/9781108673655