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Lie Algebras of Finite and Affine Type.

Bollobas, B.

Lie Algebras of Finite and Affine Type.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Lie Algebras of Finite and Affine Type.
作者:	Carter, Roger.
其他作者:	Bollobas, B.
出版者:	Cambridge :Cambridge University Press,2005.
面頁冊數:	652 p.
電子資源:	Click here to view book
ISBN:	9780511614910 (electronic bk.)

Lie Algebras of Finite and Affine Type.
Carter, Roger.

Lie Algebras of Finite and Affine Type.[electronic resource]. - Cambridge :Cambridge University Press,2005. - 652 p.

Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Basic concepts; 2 Representations of soluble and nilpotent Lie algebras; 3 Cartan subalgebras; 4 The Cartan decomposition; 5 The root system and the Weyl group; 6 The Cartan matrix and the Dynkin diagram; 7 The existence and uniqueness theorems; 8 The simple Lie algebras; 9 Some universal constructions; 10 Irreducible modules for semisimple Lie algebras; 11 Further properties of the universal enveloping algebra; 12 Character and dimension formulae; 13 Fundamental modules for simple Lie algebras

Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. A detailed Appendix is included.

Electronic reproduction.

Available via World Wide Web.

Mode of access: World Wide Web.

ISBN: 9780511614910 (electronic bk.)Index Terms--Genre/Form:

214472
Electronic books.

LC Class. No.: QA252.3 . / C37 2005

Dewey Class. No.: 512.482

Lie Algebras of Finite and Affine Type.
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100 1 $a Carter, Roger. $3 324030
245 1 0 $a Lie Algebras of Finite and Affine Type. $h [electronic resource].
260 $a Cambridge : $b Cambridge University Press, $c 2005.
300 $a 652 p.
505 0 $a Cover; Half-title; Title; Copyright; Dedication; Contents; Preface; 1 Basic concepts; 2 Representations of soluble and nilpotent Lie algebras; 3 Cartan subalgebras; 4 The Cartan decomposition; 5 The root system and the Weyl group; 6 The Cartan matrix and the Dynkin diagram; 7 The existence and uniqueness theorems; 8 The simple Lie algebras; 9 Some universal constructions; 10 Irreducible modules for semisimple Lie algebras; 11 Further properties of the universal enveloping algebra; 12 Character and dimension formulae; 13 Fundamental modules for simple Lie algebras
505 8 $a 14 Generalised Cartan matrices and Kac��oody algebras15 The classification of generalised Cartan matrices; 16 The invariant form, Weyl group, and root system; 17 Kac��oody algebras of affine type; 18 Realisations of affine Kac��oody algebras; 19 Some representations of symmetrisable Kac��oody algebras; 20 Representations of affine Kac��oody algebras; 21 Borcherds Lie algebras; Appendix; Notation; Bibliography; Bibliography; Index
520 $a Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. A detailed Appendix is included.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
655 7 $a Electronic books. $2 local. $3 214472
700 1 $a Bollobas, B. $3 322184
700 1 $a Fulton, W. $3 322185
700 1 $a Katok, A. $3 322186
700 1 $a Kirwan, F. $3 322187
700 1 $a Sarnak, P. $3 322188
700 1 $a Simon, B. $3 322203
710 2 $a Ebooks Corporation. $3 322111
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