Double shortcuts of standard hypercube decompositions
Combinatorics
2026-05-14 v1 Representation Theory
Abstract
In this paper, we study the double shortcuts associated with pairs of standard hypercube decompositions of arbitrary Bruhat intervals in the symmetric group. Our results imply that a conjecture stated in [Bull. London Math. Soc., 57 (2025), no. 8] holds for the class of standard hypercube decompositions. If this conjecture were to hold for all hypercube decompositions, then the Combinatorial Invariance Conjecture for Kazhdan--Lusztig polynomials would follow.
Cite
@article{arxiv.2605.13304,
title = {Double shortcuts of standard hypercube decompositions},
author = {Margherita Zannoni},
journal= {arXiv preprint arXiv:2605.13304},
year = {2026}
}
Comments
11 pages