3 papers
math.CO2026
Bruhat intervals that are large hypercubes
Jordan Ellenberg, Nicolas Libedinsky, David Plaza +2
We study the question of finding big Bruhat intervals that are poset hypercubes in the symmetric group . Using permutations suggested by AlphaEvolve (an evolutionary coding ag…
math.CO2025
Paper BOAT
Federico Castillo, Damian de la Fuente, Nicolas Libedinsky +1
We derive a formula for computing the size of lower Bruhat intervals for elements in the dominant cone of an affine Weyl group of type . This enumeration problem is reduced to c…
math.CO2025
Shape and class of Bruhat Intervals
Gaston Burrull, Nicolas Libedinsky, Rodrigo Villegas
We study Bruhat intervals in affine Weyl groups by viewing them as regions of alcoves. In type we show that each interval coincides with a generalized permutohedr…