Fermionic 6j-symbols in superfusion categories

JOURNAL OF ALGEBRA

卷:503

Article

关键词: Fusion categories;    Superfusion categories;    Superalgebra;    Category theory;    Ocneanu rigidity;   

DOI  :  10.1016/j.jalgebra.2018.02.015

来源: Elsevier

【 摘 要 】

We describe how the study of superfusion categories (roughly speaking, fusion categories enriched over the category of super vector spaces) reduces to that of fusion categories over sVect, in the sense of [4]. Following Brundan and Ellis [1], we give the construction of the underlying fusion category of a superfusion category, and give an explicit formula for the associator in this category in terms of 6j-symbols. As an application, we prove a version of Ocneanu rigidity for superfusion categories. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free