On the Brauer-Picard group of a finite symmetric tensor category

JOURNAL OF ALGEBRA

卷:440

Article

Bontea, Costel-Gabriel¹  Nikshych, Dmitri¹ 

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

关键词: Tensor categories;    Hopf algebras;    Brauer-Picard group;    Drinfeld double;   

DOI  :  10.1016/j.jalgebra.2015.06.006

来源: Elsevier

【 摘 要 】

Let C-n denote the representation category of finite supergroup Lambda k(n) x Z/2Z. We compute the Brauer Picard group BrPic(C-n) of C-n. This is done by identifying BrPic(C-n) with the group of braided tensor autoequivalences of the Drinfeld center of en and studying the action of the latter group on the categorical Lagrangian Grassmannian of C-n. We show that this action corresponds to the action of a projective symplectic group on a classical Lagrangian Grassmannian. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

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