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arXiv 2204.03483math.RTmath-phmath.GTmath.MPmath.QA
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Yang-Baxter方程的融合与辫群

Fusion for the Yang-Baxter equation and the braid group

L. Poulain d'Andecy

AI总结:

本文基于WinterBraids X课程讲义,阐述Yang-Baxter方程的融合过程,并由此构造出融合Hecke代数这一新代数例子。

摘要:

本文是WinterBraids X学校短期课程的扩展讲义。我们讨论同时与辫群、Yang-Baxter方程和量子群表示论相关的代数。主要目标是解释Yang-Baxter方程融合过程的思想,并展示它如何引出这类代数的新例子:融合Hecke代数。

英文摘要:

These are the extended notes of a mini-course given at the school WinterBraids X. We discuss algebras simultaneously related to: the braid group, the Yang-Baxter equation and the representation theory of quantum groups. The main goal is to explain the idea of the fusion procedure for the Yang-Baxter equation and to show how it leads to new examples of such algebras: the fused Hecke algebras.

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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