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arXiv · 2309.08539

On the size of Bruhat intervals

Federico Castillo·Damian de la Fuente·Nicolas Libedinsky·David Plaza
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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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Federico Castillo, Damian de la Fuente, Nicolas Libedinsky, David Plaza. 2023-09-15. On the size of Bruhat intervals. https://arxiv.org/abs/2309.08539

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