Cellularity of the p-Canonical Basis for Symmetric Groups
Representation Theory
2020-09-25 v1 Combinatorics
Group Theory
Abstract
For symmetric groups we show that the p-canonical basis can be extended to a cell datum for the Iwahori-Hecke algebra H and that the two-sided p-cell preorder coincides with the Kazhdan-Lusztig two-sided cell preorder. Moreover, we show that left (or right) p-cells inside the same two-sided p-cell for Hecke algebras of finite crystallographic Coxeter systems are incomparable (Property A).
Keywords
Cite
@article{arxiv.2009.11715,
title = {Cellularity of the p-Canonical Basis for Symmetric Groups},
author = {Lars Thorge Jensen},
journal= {arXiv preprint arXiv:2009.11715},
year = {2020}
}
Comments
25 pages