发表机构
University of Bonn（波恩大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究将Lai-Nakano-Xiang的量子圈积代数框架推广至对称幺半范畴与形变辫关系，简化了其PBW基判定准则，梳理了相关基结果并提出箭图赫克代数的推广。
AI 中文摘要
我们将Lai-Nakano-Xiang的量子圈积代数的构造框架推广到对称幺半范畴与形变辫关系中。在若干温和假设下，我们大幅简化了这类代数具有PBW基的判定准则；值得注意的是，新准则以结合方程与量子杨-巴克斯特方程表述。作为应用，我们梳理了现有文献中的一些基结果，并提出了箭图赫克代数的某类推广。
英文摘要
We extend the setup of Lai-Nakano-Xiang's quantum wreath product algebras to symmetric monoidal categories and deformed braid relations. Under some mild assumptions, we drastically simplify the criterion for such algebras to have PBW basis; curiously, the new criterion is phrased in terms of associative and quantum Yang-Baxter equations. As an application, we clean up some basis results in the existing literature, and propose a certain generalization of quiver Hecke algebras.
Commentsv2: rewrote Sec.4.5; v1: 29 pages, comments welcome
