由左陪集表示构造非平凡关联张量范畴
Making non-trivially associated tensor categories from left coset representatives
摘要：
本文首先给出群上子群左作用的陪集表示集的一个代数结构。由此我们构造了一个非平凡关联的张量范畴。还给出了一个双重构造，这使得可以构造一个非平凡关联的辫状张量范畴。在这个范畴中，我们明确地重建了一个辫子霍普夫代数，其表示构成了范畴本身。
英文摘要：
The paper begins by giving an algebraic structure on a set of coset representatives for the left action of a subgroup on a group. From this we construct a non-trivially associated tensor category. Also a double construction is given, and this allows the construction of a non-trivially associated braided tensor category. In this category we explicitly reconstruct a braided Hopf algebra, whose representations comprise the category itself.
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。
