On the size of Bruhat intervals

Federico Castillo, Damian de la Fuente, Nicolas Libedinsky, David Plaza

Published 2023-09-15Version 1

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.