Towards combinatorial invariance for Kazhdan-Lusztig polynomials
Representation Theory
2023-09-06 v1
Abstract
Kazhdan-Lusztig polynomials are important and mysterious objects in representation theory. Here we present a new formula for their computation for symmetric groups based on the Bruhat graph. Our approach suggests a solution to the combinatorial invariance conjecture for symmetric groups, a well-known conjecture formulated by Lusztig and Dyer in the 1980s.
Cite
@article{arxiv.2111.15161,
title = {Towards combinatorial invariance for Kazhdan-Lusztig polynomials},
author = {Charles Blundell and Lars Buesing and Alex Davies and Petar Veličković and Geordie Williamson},
journal= {arXiv preprint arXiv:2111.15161},
year = {2023}
}
Comments
47 pages, comments welcome