J. Garcia-Escudero, M. Lorente
Published 2003-12-24, updated 2003-12-29Version 2
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]).
Comments: Proceedings: S. Gonzalez, ed. Non-Associative Algebras and its Application (Kluwer, N.Y. 1994). LaTeX, 7 pages (late submission)
Classification of unitary highest weight representations for non compact real forms
Unitarizable highest weight representations for affine Kac-Moody algebras
Multi-dimensional Diffeomorphism and Current Algebras from Virasoro and Kac-Moody Currents
