论文标题

融合的Hecke代数的随机百分化

Stochastic Baxterisation of a fused Hecke algebra

论文作者

Kuan, Jeffrey

论文摘要

巴克斯特化是一种从代数表示构建杨巴克斯特方程的解决方案的过程。最近的论文ARXIV:2004.05035为融合的Hecke代数提供了最高的公式。在本文中,我们为融合的Hecke代数提供了随机版本的自发版本,该代数为Yang-Baxter方程提供随机解。以前,百货公司中的系数似乎是$ q $ -HAHN的权重。这为随机高速旋转顶点模型的重量提供了新的公式。

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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