Composantes PRV g\'en\'eralis\'ees et chemins de Littelmann
Representation Theory
2013-08-29 v4
Abstract
We give a sufficient condition for a Littelmann path to represent a vector of extremal weight of an integrable irreducible highest weight representation of a symmetrisable Kac-Moody algebra. Thanks to this condition we present, in a more general context, an alternative proof of recent result by Boris Pasquier, Nicolas Ressayre and the author of this article on the existence of generalized PRV components.
Keywords
Cite
@article{arxiv.1301.2070,
title = {Composantes PRV g\'en\'eralis\'ees et chemins de Littelmann},
author = {Pierre-Louis Montagard},
journal= {arXiv preprint arXiv:1301.2070},
year = {2013}
}
Comments
Minor corrections. 15 pages, 3 figures, in french