On the unitarization of highest weight representations for affine Kac-Moody algebras
Mathematical Physics
2007-05-23 v2 math.MP
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]).
Keywords
Cite
@article{arxiv.math-ph/0312067,
title = {On the unitarization of highest weight representations for affine Kac-Moody algebras},
author = {J. Garcia-Escudero and M. Lorente},
journal= {arXiv preprint arXiv:math-ph/0312067},
year = {2007}
}
Comments
Proceedings: S. Gonzalez, ed. Non-Associative Algebras and its Application (Kluwer, N.Y. 1994). LaTeX, 7 pages (late submission)