On Lagrangian algebras in group-theoretical braided fusion categories

被引:11
|
作者
Davydov, Alexei [1 ]
Simmons, Darren [1 ]
机构
[1] Ohio Univ, Dept Math, Athens, OH 45701 USA
关键词
Braided fusion categories; Lagrangian algebras; MODULE CATEGORIES; FINITE-GROUP;
D O I
10.1016/j.jalgebra.2016.09.016
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe Lagrangian algebras in twisted Drinfeld centres for finite groups. Using the full centre construction, we establish a 1-1 correspondence between Lagrangian algebras and module categories over pointed fusion categories. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码:149 / 175
页数:27
相关论文
共 50 条
  • [1] On the minimal extension and structure of braided weakly group-theoretical fusion categories
    Ostrik, Victor
    Yu, Zhiqiang
    [J]. ADVANCES IN MATHEMATICS, 2023, 419
  • [2] On weakly group-theoretical non-degenerate braided fusion categories
    Natale, Sonia
    [J]. JOURNAL OF NONCOMMUTATIVE GEOMETRY, 2014, 8 (04) : 1043 - 1060
  • [3] Algebraic Structures in Group-theoretical Fusion Categories
    Morales, Yiby
    Muller, Monique
    Plavnik, Julia
    Camacho, Ana Ros
    Tabiri, Angela
    Walton, Chelsea
    [J]. ALGEBRAS AND REPRESENTATION THEORY, 2023, 26 (06) : 2399 - 2431
  • [4] Weakly group-theoretical and solvable fusion categories
    Etingof, Pavel
    Nikshych, Dmitri
    Ostrik, Victor
    [J]. ADVANCES IN MATHEMATICS, 2011, 226 (01) : 176 - 205
  • [5] Algebraic Structures in Group-theoretical Fusion Categories
    Yiby Morales
    Monique Müller
    Julia Plavnik
    Ana Ros Camacho
    Angela Tabiri
    Chelsea Walton
    [J]. Algebras and Representation Theory, 2023, 26 : 2399 - 2431
  • [6] The core of a weakly group-theoretical braided fusion category
    Natale, Sonia
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2018, 29 (02)
  • [7] On the Equivalence of Module Categories over a Group-Theoretical Fusion Category
    Natale, Sonia
    [J]. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2017, 13
  • [8] Group-theoretical graph categories
    Daniel Gromada
    [J]. Journal of Algebraic Combinatorics, 2022, 55 : 591 - 627
  • [9] Group-theoretical graph categories
    Gromada, Daniel
    [J]. JOURNAL OF ALGEBRAIC COMBINATORICS, 2022, 55 (02) : 591 - 627
  • [10] On the braid group representations coming from weakly group-theoretical fusion categories
    Green, Jason
    Nikshych, Dmitri
    [J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (01)