Categorical Lagrangian Grassmannians and Brauer-Picard groups of pointed fusion categories

JOURNAL OF ALGEBRA

卷:411

Article

Nikshych, Dmitri¹  Riepel, Brianna¹ 

[1] Univ New Hampshire, Dept Math & Stat, Durham, NH 03824 USA

关键词: Fusion categories;    Braided fusion categories;    Module categories;    Braided autoequivalences;    Brauer-Picard groups;   

DOI  :  10.1016/j.jalgebra.2014.04.013

来源: Elsevier

【 摘 要 】

We analyze the action of the Brauer-Picard group of a pointed fusion category on the set of Lagrangian subcategories of its center. Using this action we compute the Brauer-Picard groups of pointed fusion categories associated to several classical finite groups. As an application, we construct examples of weakly group-theoretical fusion categories. (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free