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Representations of Lie algebras : = ...

Henderson, Anthony, (1976-)

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Representations of Lie algebras : = an introduction through gln /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Representations of Lie algebras :/ Anthony Henderson
Reminder of title:	an introduction through gln /
Author:	Henderson, Anthony,
Published:	Cambridge :Cambridge University Press, : 2012.,
Description:	ix, 156 p. :ill. ;23 cm.
Subject:	Representations of Lie algebras. -
Online resource:	http://assets.cambridge.org/97811076/53610/cover/9781107653610.jpg
ISBN:	9781107653610 (pbk.) :

Representations of Lie algebras : = an introduction through gln /
Henderson, Anthony,1976-

Representations of Lie algebras :an introduction through gln /Anthony Henderson - Cambridge :Cambridge University Press,2012. - ix, 156 p. :ill. ;23 cm. - Australian Mathematical Society lecture series ;22.

Includes bibliographical references (p. 153) and index.

Motivation : representations of Lie groups --

"This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author’s exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author’s own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics"--

ISBN: 9781107653610 (pbk.) :US50.00

LCCN: 2012021841Subjects--Topical Terms:

950288
Representations of Lie algebras.

LC Class. No.: QA252.3 / .H46 2012

Dewey Class. No.: 512/.482

Representations of Lie algebras : = an introduction through gln /
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050 0 0 $a QA252.3 $b .H46 2012
082 0 0 $a 512/.482 $2 23
084 $a MAT002000 $2 bisacsh
100 1 $a Henderson, Anthony, $d 1976- $e author. $3 1959047
245 1 0 $a Representations of Lie algebras : $b an introduction through gln / $c Anthony Henderson
260 # $a Cambridge : $b Cambridge University Press, $c 2012.
300 $a ix, 156 p. : $b ill. ; $c 23 cm.
490 1 0 $a Australian Mathematical Society lecture series ; $v 22
504 $a Includes bibliographical references (p. 153) and index.
505 $t Motivation : representations of Lie groups -- $t Definition of a Lie algebra -- $t Basic structure of a Lie algebra -- $t Modules over a Lie algebra -- $t The theory of SL2-modules -- $t General theory of modules -- $t Integral GLn-modules -- $t Guide to further reading -- $t Appendix : solutions to the exercises.
520 # $a "This bold and refreshing approach to Lie algebras assumes only modest prerequisites (linear algebra up to the Jordan canonical form and a basic familiarity with groups and rings), yet it reaches a major result in representation theory: the highest-weight classification of irreducible modules of the general linear Lie algebra. The author’s exposition is focused on this goal rather than aiming at the widest generality and emphasis is placed on explicit calculations with bases and matrices. The book begins with a motivating chapter explaining the context and relevance of Lie algebras and their representations and concludes with a guide to further reading. Numerous examples and exercises with full solutions are included. Based on the author’s own introductory course on Lie algebras, this book has been thoroughly road-tested by advanced undergraduate and beginning graduate students and it is also suited to individual readers wanting an introduction to this important area of mathematics"-- $c Provided by publisher.
650 # 0 $a Representations of Lie algebras. $3 950288
856 4 2 $3 Cover image $u http://assets.cambridge.org/97811076/53610/cover/9781107653610.jpg