000			01515nam a2200241 4500
999			_c54762 _d54762
008			210321b ||||| |||| 00| 0 eng d
020			_a9781316614105
082			_a512.482 _bKIR
100			_aKIRILLOV, JR ALEXANDER, JR.
245			_aIntroduction to lie groups and lie algebras
260			_aCambridge: _bCambridge University Press, _c2017.
300			_axi; 222p. : ill. ; _bpb. _c23 cm.
365			_aGBP _b27.99
440			_aCambridge studies in advanced mathematics ; 113
504			_aThe book contains bibliography and index.
520			_aThis classic graduate text focuses on the study of semisimple Lie algebras, developing the necessary theory along the way. The material covered ranges from basic definitions of Lie groups to the classification of finite-dimensional representations of semisimple Lie algebras. Lie theory, in its own right, has become regarded as a classical branch of mathematics. Written in an informal style, this is a contemporary introduction to the subject which emphasizes the main concepts of the proofs and outlines the necessary technical details, allowing the material to be conveyed concisely. Based on a lecture course given by the author at the State University of New York at Stony Brook, the book includes numerous exercises and worked examples and is ideal for graduate courses on Lie groups and Lie algebras.
650			_aLie algebras
650			_aLie groups
650			_aMathematics
650			_aAlgebra
650			_aExponential map
942			_cTD