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arXiv · 2012.11564

Stochastic Baxterisation of a fused Hecke algebra

Jeffrey Kuan
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Abstract

Baxterisation is a procedure which constructs solutions of the Yang-Baxter equation from algebra representations. A recent paper arXiv:2004.05035 provides Baxterisation formulas for a fused Hecke algebra. In this paper, we provide a stochastic version of Baxterisation for the fused Hecke algebra, which yields stochastic solutions to the Yang-Baxter equation. The coefficients in the Baxterisation formula previously appeared as the $q$-Hahn weights. This results in new formulas for the weights of the stochastic higher-spin vertex model.

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Jeffrey Kuan. 2020-12-21. Stochastic Baxterisation of a fused Hecke algebra. https://arxiv.org/abs/2012.11564

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