20 citations · 39 across the 17 of their papers we have counts for
24 papers
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…
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…
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…
The atomic Leibniz rule
Ben Elias, Hankyung Ko, Nicolas Libedinsky +1
The Demazure operator associated to a simple reflection satisfies the twisted Leibniz rule. In this paper we introduce a generalization of the twisted Leibniz rule for the Demazure…
On reduced expressions for core double cosets
Ben Elias, Hankyung Ko, Nicolas Libedinsky +1
The notion of a reduced expression for a double coset in a Coxeter group was introduced by Williamson, and recent work of Elias and Ko has made this theory more accessible and comb…
Singular Light Leaves
Ben Elias, Hankyung Ko, Nicolas Libedinsky +1
For any Coxeter system we introduce the concept of singular light leaves, answering a question of Williamson raised in 2008. They provide a combinatorial basis for Hom spaces betwe…