Geodesic
On dominance and minuscule Weyl group elements.
Journal of Algebraic Combinatorics, Tome 33 (2011) no. 3, pp. 383-399.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Fix a Dynkin graph and let $\lambda $ be a coweight. When does there exist an element $w$ of the corresponding Weyl group such that $w$ is $\lambda $-minuscule and $w( \lambda )$ is dominant? We answer this question for general Coxeter groups. We express and prove these results using a variant of Mozes' game of numbers.
Keywords: keywords dominant weights, minuscule Weyl group elements, numbers game with a cutoff 
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     author = {Gashi, Q\"endrim R. and Schedler, Travis},
     title = {On dominance and minuscule {Weyl} group elements.},
     journal = {Journal of Algebraic Combinatorics},
     pages = {383--399},
     publisher = {mathdoc},
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     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2011__33_3_a5/}
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Gashi, Qëndrim R.; Schedler, Travis. On dominance and minuscule Weyl group elements.. Journal of Algebraic Combinatorics, Tome 33 (2011) no. 3, pp. 383-399. http://geodesic.mathdoc.fr/item/JAC_2011__33_3_a5/