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Science/Engineering Lie Algebras: Finite and Infinite Demensional Lie Algebras
Posted on 2010-03-15
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More E.A. de Kerf, G.G.A. Bäuerle, A.P.E. ten Kroode, "Lie Algebras: Finite and Infinite Demensional Lie Algebras" The theoretical part largely deals with the representation theory of Lie algebras with a triangular decomposition, of which Kac-Moody algebras and the Virasoro algebra are prime examples. After setting up the general framework of highest weight representations, the book continues to treat topics as the Casimir operator and the Weyl-Kac character formula, which are specific for Kac-Moody algebras. The applications have a wide range. First, the book contains an exposition on the role of finite-dimensional semisimple Lie algebras and their representations in the standard and grand unified models of elementary particle physics. A second application is in the realm of soliton equations and their infinite-dimensional symmetry groups and algebras. The book concludes with a chapter on conformal field theory and the importance of the Virasoro and Kac-Moody algebras therein. Enjoy this great book! Brought to you by SMIRK RS Link: Thanks for this post! I guess Part 1 is not available... If it is at some point, I would be very interested!!
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