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The character theory of finite group...

Geck, Meinolf.

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The character theory of finite groups of Lie type = a guided tour /

Record Type:	Electronic resources : Monograph/item
Title/Author:	The character theory of finite groups of Lie type/ Meinolf Geck, Gunter Malle.
Reminder of title:	a guided tour /
Author:	Geck, Meinolf.
other author:	Malle, Gunter.
Published:	Cambridge :Cambridge University Press, : 2020.,
Description:	ix, 394 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 20 Feb 2020).
Subject:	Finite groups. -
Online resource:	https://doi.org/10.1017/9781108779081
ISBN:	9781108779081

The character theory of finite groups of Lie type = a guided tour /
Geck, Meinolf.

The character theory of finite groups of Lie typea guided tour /[electronic resource] :Meinolf Geck, Gunter Malle. - Cambridge :Cambridge University Press,2020. - ix, 394 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;187. - Cambridge studies in advanced mathematics ;187..

Title from publisher's bibliographic system (viewed on 20 Feb 2020).

Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne-Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish-Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.

ISBN: 9781108779081Subjects--Topical Terms:

532025
Finite groups.

LC Class. No.: QA177 / .G435 2020

Dewey Class. No.: 512.482

The character theory of finite groups of Lie type = a guided tour /
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100 1 $a Geck, Meinolf. $3 711306
245 1 4 $a The character theory of finite groups of Lie type $h [electronic resource] : $b a guided tour / $c Meinolf Geck, Gunter Malle.
260 $a Cambridge : $b Cambridge University Press, $c 2020.
300 $a ix, 394 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 187
500 $a Title from publisher's bibliographic system (viewed on 20 Feb 2020).
520 $a Through the fundamental work of Deligne and Lusztig in the 1970s, further developed mainly by Lusztig, the character theory of reductive groups over finite fields has grown into a rich and vast area of mathematics. It incorporates tools and methods from algebraic geometry, topology, combinatorics and computer algebra, and has since evolved substantially. With this book, the authors meet the need for a contemporary treatment, complementing in core areas the well-established books of Carter and Digne-Michel. Focusing on applications in finite group theory, the authors gather previously scattered results and allow the reader to get to grips with the large body of literature available on the subject, covering topics such as regular embeddings, the Jordan decomposition of characters, d-Harish-Chandra theory and Lusztig induction for unipotent characters. Requiring only a modest background in algebraic geometry, this useful reference is suitable for beginning graduate students as well as researchers.
650 0 $a Finite groups. $3 532025
700 1 $a Malle, Gunter. $3 709079
830 0 $a Cambridge studies in advanced mathematics ; $v 187. $3 3469109
856 4 0 $u https://doi.org/10.1017/9781108779081