On the unitarization of highest weight representations for affine Kac-Moody algebras

2003/12/24 by J. Garcia-Escudero, Garcia-Escudero, J., M. Lorente +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0312067

Proceedings: S. Gonzalez, ed. Non-Associative Algebras and its Application (Kluwer, N.Y. 1994). LaTeX, 7 pages (late submission)

arxiv created 2003/12/29 · arxiv updated 2009/12/01

Abstract

In a recent paper ([1],[2]) we have classified explicitely all the unitary highest weight representations of non compact real forms of semisimple Lie Algebras on Hermitian symmetric space. These results are necessary in order to construct all the unitary highest weight representations of affine Kac-Moody Algebras following some theorems proved by Jakobsen and Kac ([3],[4]).

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