A Root System Criterion for Fully Commutative and Short Braid-Avoiding Elements in Affine Weyl Groups |
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| Authors: | Paola Cellini Paolo Papi |
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| Affiliation: | (1) Department of Mathematical Sciences, King’s College, Aberdeen University, Meston Building, AB24 3UE Aberdeen, Scotland, UK |
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| Abstract: | ![]()
We provide simple characterizations of short-braid avoiding and fully commutative elements in an affine Weyl group W, generalizing results of Fan and Stembridge for finite Weyl groups. Our results rely on the combinatorics of the compatible subsets of the root system of W. |
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| Keywords: | affine Weyl group short-braid avoiding element fully commutative element |
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