On dominance and minuscule Weyl group elements

Details On dominance and minuscule Weyl group elements On dominance and minuscule Weyl group elements

2009-08-07

arxiv.org/abs/0908.1091v1

Mathematics

Representation Theory

12 pages

Scientific paper

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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