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arXiv 2012.11564math.RTmath.PR
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融合Hecke代数的随机化

Stochastic Baxterisation of a fused Hecke algebra

Jeffrey Kuan

摘要:

代数化是从代数表示构造杨-巴克斯特方程的解的过程。最近的论文arXiv:2004.05035提供了融合Hecke代数的简化公式。本文给出了融合Hecke代数的一个随机化形式,它给出了杨-巴克斯特方程的随机解.先前,反量化公式中的系数以$q$ -Hahn权重形式出现。这导致了随机高自旋顶点模型的权重的新公式。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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