English

Kazhdan-Lusztig polynomials and subexpressions

Combinatorics 2020-04-02 v1 Representation Theory

Abstract

We refine an idea of Deodhar, whose goal is a counting formula for Kazhdan-Lusztig polynomials. This is a consequence of a simple observation that one can use the solution of Soergel's conjecture to make ambiguities involved in defining certain morphisms between Soergel bimodules in characteristic zero (double leaves) disappear.

Keywords

Cite

@article{arxiv.2004.00045,
  title  = {Kazhdan-Lusztig polynomials and subexpressions},
  author = {Nicolas Libedinsky and Geordie Williamson},
  journal= {arXiv preprint arXiv:2004.00045},
  year   = {2020}
}

Comments

10 pages

R2 v1 2026-06-23T14:34:23.318Z