On the size of Bruhat intervals
Combinatorics
2023-09-18 v1 Representation Theory
Abstract
For affine Weyl groups and elements associated to dominant coweights, we present a convex geometry formula for the size of the corresponding lower Bruhat intervals. Extensive computer calculations for these groups have led us to believe that a similar formula exists for all lower Bruhat intervals.
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Cite
@article{arxiv.2309.08539,
title = {On the size of Bruhat intervals},
author = {Federico Castillo and Damian de la Fuente and Nicolas Libedinsky and David Plaza},
journal= {arXiv preprint arXiv:2309.08539},
year = {2023}
}
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28 pages