Regular nilpotent elements and quantum groups
Quantum Algebra
2009-10-31 v1 Combinatorics
Abstract
We suggest new realizations of quantum groups corresponding to complex simple Lie algebras, and of affine quantum groups. These new realizations are labeled by Coxeter elements of the corresponding Weyl group and have the following key feature: The natural counterparts of the subalgebras U(n), where n is a maximal nilpotent subalgebra in g, possess non--singular characters.
Cite
@article{arxiv.math/9812107,
title = {Regular nilpotent elements and quantum groups},
author = {A. Sevostyanov},
journal= {arXiv preprint arXiv:math/9812107},
year = {2009}
}
Comments
23 pages, LaTeX 2e