Structure coefficients of the Hecke algebra of $(S_{2n},B_n)$
Combinatorics
2023-09-12 v3
Abstract
The Hecke algebra of the pair , where is the hyperoctahedral subgroup of , was introduced by James in 1961. It is a natural analogue of the center of the symmetric group algebra. In this paper, we give a polynomiality property of its structure coefficients. Our main tool is a combinatorial universal algebra which projects on the Hecke algebra of for every . To build it, we introduce new objects called partial bijections.
Keywords
Cite
@article{arxiv.1212.5375,
title = {Structure coefficients of the Hecke algebra of $(S_{2n},B_n)$},
author = {Omar Tout},
journal= {arXiv preprint arXiv:1212.5375},
year = {2023}
}
Comments
32 pages, 15 figures