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arXiv · 0908.1091

On dominance and minuscule Weyl group elements

Qëndrim R. Gashi·Travis Schedler
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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.

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Qëndrim R. Gashi, Travis Schedler. 2009-08-07. On dominance and minuscule Weyl group elements. https://arxiv.org/abs/0908.1091

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