Structure constants for spin Hall--Littlewood functions
Combinatorics
2025-05-09 v2
Abstract
We provide a combinatorial formula for the structure constants of spin Hall--Littlewood functions. This is achieved by representing these functions and the structure constants as the partition function of a lattice model and applying the underlying Yang--Baxter equation. Our combinatorial expression is in terms of generalised honeycombs; the latter were introduced by Knutson and Tao for ordinary Littlewood--Richardson coefficients and applied to the computation of Hall polynomials by Zinn--Justin.
Keywords
Cite
@article{arxiv.2504.19205,
title = {Structure constants for spin Hall--Littlewood functions},
author = {Ajeeth Gunna and Michael Wheeler and Paul Zinn-Justin},
journal= {arXiv preprint arXiv:2504.19205},
year = {2025}
}
Comments
some typos fixed