000			02109nam a22003618i 4500
001			CR9780511614910
003			UkCbUP
005			20200124160220.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090914s2005||||enk o ||1 0|eng|d
020			_a9780511614910 (ebook)
020			_z9780521851381 (hardback)
020			_z9781107471986 (paperback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA252.3 _b.C376 2005
082	0	0	_a512.482 _222
100	1		_aCarter, Roger W. _q(Roger William), _eauthor.
245	1	0	_aLie algebras of finite and affine type / _cR.W. Carter.
246	3		_aLie Algebras of Finite & Affine Type
264		1	_aCambridge : _bCambridge University Press, _c2005.
300			_a1 online resource (xvii, 632 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v96
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520			_aLie 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.
650		0	_aLie algebras.
776	0	8	_iPrint version: _z9780521851381
830		0	_aCambridge studies in advanced mathematics ; _v96.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511614910
999			_c516649 _d516647