The Lusztig cones of a quantized enveloping algebra of type A
Quantum Algebra
2020-12-21 v2 Combinatorics
Abstract
We show that for each reduced expression for the longest word in the Weyl group of type A_n, the corresponding cone arising in Lusztig's description of the canonical basis in terms of tight monomials is simplicial, and construct explicit spanning vectors.
Cite
@article{arxiv.math/0008035,
title = {The Lusztig cones of a quantized enveloping algebra of type A},
author = {Bethany Marsh},
journal= {arXiv preprint arXiv:math/0008035},
year = {2020}
}
Comments
18 pages, 2 figures, uses pictex. Revised version to appear in Journal of Algebra Introduction extended and final proof improved and corrected