東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Representations of Lie algebras : = ...

Henderson, Anthony, (1976-)

FindBook

Google Book

Amazon

博客來

Representations of Lie algebras : = an introduction through gln /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Representations of Lie algebras :/ Anthony Henderson
其他題名:	an introduction through gln /
作者:	Henderson, Anthony,
出版者:	Cambridge :Cambridge University Press, : 2012.,
面頁冊數:	ix, 156 p. :ill. ;23 cm.
標題:	Representations of Lie algebras. -
電子資源:	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 /
LDR:02495cam a2200361 i 450 001 1464313
005 20130117141911.0
008 130522s2012 enka b 001 0 eng
010 $a 2012021841
020 $a 9781107653610 (pbk.) : $c US50.00
020 $a 1107653614 (pbk.)
020 $a 9781139550208 (ebk.)
020 $a 1139550209 (ebk.)
020 $a 1139555162 (ebk.)
020 $a 9781139555166 (ebk.)
020 $a 9781139236126 (ebk.)
020 $a 1139236121 (ebk.)
020 $a 9781139552714
020 $a 1139552716
020 $a 9781139564984
020 $a 1139564986
035 $a AS-BW-102-N-01
040 $a DLC $b eng
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