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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-電子資源 : Monograph/item
正題名/作者:	A course in finite group representation theoryPeter 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 groupsTextbooks.
電子資源:	https://doi.org/10.1017/CBO9781316677216
ISBN:	9781316677216$q(electronic bk.)

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 ;105..

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: 9781316677216$q(electronic bk.)Subjects--Topical Terms:

840378
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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245 1 2 $a A course in finite group representation theory $h [electronic resource] / $c Peter Webb.
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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 840378
650 0 $a Group theory $3 254098
650 0 $a Modules (Algebra) $3 190875
650 0 $a Representations of groups $v Congresses. $3 446572
650 0 $a Rings (Algebra) $3 190979
830 0 $a Cambridge studies in advanced mathematics ; $v 105. $3 541725
856 4 0 $u https://doi.org/10.1017/CBO9781316677216