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arXiv:0908.1091 [math.RT]AbstractReferencesReviewsResources

On dominance and minuscule Weyl group elements

Qëndrim R. Gashi, Travis Schedler

Published 2009-08-07Version 1

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.

Comments: 12 pages
Categories: math.RT, math.CO
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