Combinatorial invariance for Kazhdan-Lusztig $R$-polynomials of elementary intervals
Combinatorics
2025-11-04 v5 Representation Theory
Abstract
We adapt the hypercube decompositions introduced by Blundell-Buesing-Davies-Veli\v{c}kovi\'{c}-Williamson to prove the Combinatorial Invariance Conjecture for Kazhdan-Lusztig -polynomials in the case of elementary intervals in . This significantly generalizes the main previously-known case of the conjecture, that of lower intervals.
Keywords
Cite
@article{arxiv.2303.15577,
title = {Combinatorial invariance for Kazhdan-Lusztig $R$-polynomials of elementary intervals},
author = {Grant T. Barkley and Christian Gaetz},
journal= {arXiv preprint arXiv:2303.15577},
year = {2025}
}
Comments
v4: updated title; v5: final version, to appear in Mathematische Annalen