关于具有拉格朗日子范畴的有限非退化辫张量范畴
量子代数
2021-01-18 v4
摘要
设为上的有限维纯奇超向量空间，并设为有限超群的有限维超表示的有限对称张量范畴。我们证明，包含作为拉格朗日子范畴的有限非退化辫张量范畴的等价类集合是循环群上的一个torsor。特别地，我们得到有个这样的非等价辫张量范畴是整的，个是非整的。
引用
@article{arxiv.1703.05787,
title = {On finite non-degenerate braided tensor categories with a Lagrangian subcategory},
author = {Shlomo Gelaki and Daniel Sebbag},
journal= {arXiv preprint arXiv:1703.05787},
year = {2021}
}
备注
25 pages; Sections 2.5, 2.6 were renamed and slightly revised; Lemma 2.6, Proposition 2.7, Remark 2.8, Section 2.7 and Proposition 2.10 are new; Corollary 3.3 and its proof were revised; Section 5 was revised; Theorem 6.1 was reformulated and its proof was slightly revised; new references were added and some minor corrections were made