Yang-Baxter方程的融合与辫群
Fusion for the Yang-Baxter equation and the braid group
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。