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Representations of finite groups of ...

Digne, François.

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Representations of finite groups of Lie type /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Representations of finite groups of Lie type // François Digne, Université de Picardie Jules Verne, Amiens, Jean Michel, Centre National de la Recherche Scientifique (CNRS), Paris.
Author:	Digne, François.
other author:	Michel, Jean.
Published:	Cambridge, United Kingdom ;Cambridge University Press, : c2020.,
Description:	vii, 258 p ;25 cm.
Notes:	Previous edition in 1991.
Subject:	Lie groups. -
ISBN:	9781108481489

Representations of finite groups of Lie type /
Digne, François.

Representations of finite groups of Lie type /François Digne, Université de Picardie Jules Verne, Amiens, Jean Michel, Centre National de la Recherche Scientifique (CNRS), Paris. - 2nd ed. - Cambridge, United Kingdom ;Cambridge University Press,c2020. - vii, 258 p ;25 cm. - London mathematical society student texts ;95. - London mathematical society student texts ;95..

Previous edition in 1991.

Includes bibliographical references and index.

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: 9781108481489GBP79.99

LCCN: 2019035714Subjects--Topical Terms:

526114
Lie groups.

LC Class. No.: QA387 / .D54 2020

Dewey Class. No.: 512/.482

Representations of finite groups of Lie type /
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020 $a 1108481485 $q (hbk.)
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100 1 $a Digne, François. $3 3470151
245 1 0 $a Representations of finite groups of Lie type / $c François Digne, Université de Picardie Jules Verne, Amiens, Jean Michel, Centre National de la Recherche Scientifique (CNRS), Paris.
250 $a 2nd ed.
260 # $a Cambridge, United Kingdom ; $a New York, NY : $b Cambridge University Press, $c c2020.
300 $a vii, 258 p ; $c 25 cm.
490 1 $a London mathematical society student texts ; $v 95
500 $a Previous edition in 1991.
504 $a Includes bibliographical references and index.
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 526114
650 # 0 $a Representations of groups. $3 519598
700 1 # $a Michel, Jean. $3 709080
830 0 $a London mathematical society student texts ; $v 95. $3 3470152