A note on the structure coefficients of the centraliser algebra
Combinatorics
2023-10-12 v1 Representation Theory
Abstract
In this note we generalize the definition of partial permutations of Ivanov and Kerov and we build a universal algebra which projects onto the m-centraliser algebra defined by Creedon. We use it to present a new proof for the polynomiality property of the structure coefficients of the m-centraliser algebra and to obtain upper bounds for the polynomial degrees.
Cite
@article{arxiv.2310.07231,
title = {A note on the structure coefficients of the centraliser algebra},
author = {Omar Tout},
journal= {arXiv preprint arXiv:2310.07231},
year = {2023}
}