Equivalence classes of exact module categories over graded tensor categories

被引:2
|
作者
Castano, Adriana Mejia [1 ]
Mombelli, Martin [2 ]
机构
[1] Univ Norte, Dept Matemat & Estadist, Barranquilla, Colombia
[2] Univ Nacl Cordoba, Fac Matemat Astron & Fis, CIEM, CONICET, Medina Allende S-N,Ciudad Univ, RA-5000 Cordoba, Argentina
关键词
Tensor category; Module category; CLIFFORD THEORY;
D O I
10.1080/00927872.2020.1755679
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We describe equivalence classes of indecomposable exact module categories over a finite graded tensor category. When applied to a pointed fusion category, our results coincide with the ones obtained in [11].
引用
收藏
页码:4102 / 4131
页数:30
相关论文
共 50 条
  • [1] Module categories over graded fusion categories
    Meir, Ehud
    Musicantov, Evgeny
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2012, 216 (11) : 2449 - 2466
  • [2] MODULE CATEGORIES OVER EQUIVARIANTIZED TENSOR CATEGORIES
    Mombelli, Martin
    Natale, Sonia
    MOSCOW MATHEMATICAL JOURNAL, 2017, 17 (01) : 97 - 128
  • [3] Module categories over finite pointed tensor categories
    Galindo, Cesar
    Mombelli, Martin
    SELECTA MATHEMATICA-NEW SERIES, 2012, 18 (02): : 357 - 389
  • [4] Module categories over finite pointed tensor categories
    César Galindo
    Martín Mombelli
    Selecta Mathematica, 2012, 18 : 357 - 389
  • [5] CATEGORIFIED TRACE FOR MODULE TENSOR CATEGORIES OVER BRAIDED TENSOR CATEGORIES
    Henriques, Andre
    Penneys, David
    Tener, James
    DOCUMENTA MATHEMATICA, 2016, 21 : 1089 - 1150
  • [6] MORITA EQUIVALENCE OF MODULE CATEGORIES WITH TENSOR-PRODUCTS
    PAREIGIS, B
    COMMUNICATIONS IN ALGEBRA, 1981, 9 (15) : 1455 - 1477
  • [7] Exact sequences of tensor categories with respect to a module category
    Etingof, Pavel
    Gelaki, Shlomo
    ADVANCES IN MATHEMATICS, 2017, 308 : 1187 - 1208
  • [8] Exact Sequences of Tensor Categories
    Bruguieres, Alain
    Natale, Sonia
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2011, 2011 (24) : 5644 - 5705
  • [9] Traces on module categories over fusion categories
    Schaurnann, Gregor
    JOURNAL OF ALGEBRA, 2013, 379 : 382 - 425
  • [10] Quotients of exact categories by cluster tilting subcategories as module categories
    Demonet, Laurent
    Liu, Yu
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2013, 217 (12) : 2282 - 2297