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Lie algebras of finite and affine type /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Lie algebras of finite and affine type // R.W. Carter.
其他題名:	Lie Algebras of Finite & Affine Type
作者:	Carter, Roger W.
面頁冊數:	1 online resource (xvii, 632 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Lie algebras. -
電子資源:	https://doi.org/10.1017/CBO9780511614910
ISBN:	9780511614910 (ebook)

Lie algebras of finite and affine type /
Carter, Roger W.

Lie algebras of finite and affine type /Lie Algebras of Finite & Affine TypeR.W. Carter. - 1 online resource (xvii, 632 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;96. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Lie algebras have many varied applications, both in mathematics and mathematical physics. This book provides a thorough but relaxed mathematical treatment of the subject, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. The second half introduces the theory of Kac-Moody algebras, concentrating particularly on those of affine type. A brief account of Borcherds algebras is also included. An Appendix gives a summary of the basic properties of each Lie algebra of finite and affine type.

ISBN: 9780511614910 (ebook)Subjects--Topical Terms:

527930
Lie algebras.

LC Class. No.: QA252.3 / .C376 2005

Dewey Class. No.: 512.482

Lie algebras of finite and affine type /
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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, including both the Cartan-Killing-Weyl theory of finite dimensional simple algebras and the more modern theory of Kac-Moody algebras. Proofs are given in detail and the only prerequisite is a sound knowledge of linear algebra. The first half of the book deals with classification of the finite dimensional simple Lie algebras and of their finite dimensional irreducible representations. The second half introduces the theory of Kac-Moody algebras, concentrating particularly on those of affine type. A brief account of Borcherds algebras is also included. An Appendix gives a summary of the basic properties of each Lie algebra of finite and affine type.
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