000			01713cam a22002657a 4500
001			14328229
005			20250610095303.0
008			060404s2005 enka b 001 0 eng d
020			_a9780521851381
040			_aCSL _cCSL
041			_2eng _aeng
084			_aB29m42 P5 NBHM _qCSL
100	1		_aCarter, Roger W. _eauthor. _9508935
245	1	0	_aLie algebras of finite and affine type
260			_aCambridge : _bCambridge University Press, _c2005.
300			_axvii, 632 p. : _bill. ; _c24 cm.
440		0	_aCambridge studies in advanced mathematics ; _v96 _9812310
504			_aIncludes bibliographical references and index.
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.
650		0	_aCartan subalgebras _9812311
650		0	_aSimple Lie algebras _9812312
650		0	_aKac–Moody algebras _9812313
942			_2CC _n0 _cTEXL _hB29m42 P5 NBHM
999			_c1431535 _d1431535