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Science/Engineering Lie Algebras, Part 2: Finite and Infinite Dimensional Lie Algebras and Applications in Physics
Posted on 2010-09-21
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More Lie Algebras, Part 2: Finite and Infinite Dimensional Lie Algebras and Applications in Physics This is the long awaited follow-up to Lie Algebras, Part I which covered a major part of the theory of Kac-Moody algebras, stressing primarily their mathematical structure. Part II deals mainly with the representations and applications of Lie Algebras and contains many cross references to Part I.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.
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