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

Physics – Mathematical Physics

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

Scientific paper

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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