On dominance and minuscule Weyl group elements
Representation Theory
2009-08-10 v1 Combinatorics
Abstract
Fix a Dynkin diagram and let p be a coweight. When does there exist an element w of the corresponding Weyl group such that w is p-minuscule and w(p) is dominant? We answer this question for general Coxeter groups. We express and prove these results using a variant of Mozes's game of numbers.
Keywords
Cite
@article{arxiv.0908.1091,
title = {On dominance and minuscule Weyl group elements},
author = {Qëndrim R. Gashi and Travis Schedler},
journal= {arXiv preprint arXiv:0908.1091},
year = {2009}
}
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12 pages