Séminaire Lotharingien de Combinatoire, 91B.11 (2024), 10 pp.
Federico Castillo, Damian de la Fuente, Nicolas Libedinsky and David Plaza
On The Size of Bruhat Intervals
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.
Received: November 15, 2023.
Accepted: February 15, 2024.
Final version: April 1, 2024.
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