Weyl group action and semicanonical bases
Representation Theory
2011-10-18 v1
Abstract
Let U be the enveloping algebra of a symmetric Kac-Moody algebra. The Weyl group acts on U, up to a sign. In addition, the positive subalgebra U^+ contains a so-called semicanonical basis, with remarkable properties. The aim of this paper is to show that these two structures are as compatible as possible.
Cite
@article{arxiv.1104.0907,
title = {Weyl group action and semicanonical bases},
author = {Pierre Baumann},
journal= {arXiv preprint arXiv:1104.0907},
year = {2011}
}