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A course in finite group representat...

Webb, Peter, (1954-)

A course in finite group representation theory

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	A course in finite group representation theory/ Peter Webb.
作者:	Webb, Peter,
出版者:	Cambridge :Cambridge University Press, : 2016.,
面頁冊數:	xi, 325 p. :ill., digital ; : 24 cm.;
標題:	Finite groups - Textbooks. -
電子資源:	https://doi.org/10.1017/CBO9781316677216
ISBN:	9781316677216

A course in finite group representation theory
Webb, Peter,1954-

A course in finite group representation theory[electronic resource] /Peter Webb. - Cambridge :Cambridge University Press,2016. - xi, 325 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;161. - Cambridge studies in advanced mathematics ;134..

This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.

ISBN: 9781316677216Subjects--Topical Terms:

1238298
Finite groups
--Textbooks.

LC Class. No.: QA177 / .W43 2016

Dewey Class. No.: 512.23

A course in finite group representation theory
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100 1 $a Webb, Peter, $d 1954- $3 1238297
245 1 2 $a A course in finite group representation theory $h [electronic resource] / $c Peter Webb.
260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a xi, 325 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 161
520 $a This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra.
650 0 $a Finite groups $v Textbooks. $3 1238298
650 0 $a Group theory $v Congresses. $3 856804
650 0 $a Modules (Algebra) $3 672305
650 0 $a Representations of groups $v Congresses. $3 1209575
650 0 $a Rings (Algebra) $3 786669
830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/CBO9781316677216

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