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arXiv · 2504.19205

Structure constants for spin Hall--Littlewood functions

Ajeeth Gunna·Michael Wheeler·Paul Zinn-Justin
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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.

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Ajeeth Gunna, Michael Wheeler, Paul Zinn-Justin. 2025-05-08. Structure constants for spin Hall--Littlewood functions. https://arxiv.org/abs/2504.19205

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