Morita theory for finitary 2-categories

被引:21
|
作者
Mazorchuk, Volodymyr [1 ]
Miemietz, Vanessa [2 ]
机构
[1] Uppsala Univ, Dept Math, Box 480, SE-75106 Uppsala, Sweden
[2] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England
基金
英国工程与自然科学研究理事会;
关键词
2-representation theory; finitary; 2-category; Morita equivalence; projective functor;
D O I
10.4171/QT/72
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We develop Morita theory for finitary additive 2-representations of finitary 2-categories. As an application we describe Morita equivalence classes for 2-categories of projective functors associated to finite dimensional algebras and for 2-categories of Soergel bimodules.
引用
收藏
页码:1 / 28
页数:28
相关论文
共 50 条
  • [21] Multifusion categories and finite semisimple 2-categories
    Decoppet, Thibault D.
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2022, 226 (08)
  • [22] Locating reaction with 2-categories
    Sassone, V
    Sobocinski, P
    THEORETICAL COMPUTER SCIENCE, 2005, 333 (1-2) : 297 - 327
  • [23] Group actions on 2-categories
    Bernaschini, Eugenia
    Galindo, Cesar
    Mombelli, Martin
    MANUSCRIPTA MATHEMATICA, 2019, 159 (1-2) : 81 - 115
  • [24] YONEDA STRUCTURES ON 2-CATEGORIES
    STREET, R
    WALTERS, R
    JOURNAL OF ALGEBRA, 1978, 50 (02) : 350 - 379
  • [25] Absolute Lax 2-categories
    Marco Grandis
    Applied Categorical Structures, 2006, 14 : 191 - 214
  • [26] Free compact 2-categories
    Preller, Anne
    Lambek, Joachim
    MATHEMATICAL STRUCTURES IN COMPUTER SCIENCE, 2007, 17 (02) : 309 - 340
  • [27] Group actions on 2-categories
    Eugenia Bernaschini
    César Galindo
    Martín Mombelli
    manuscripta mathematica, 2019, 159 : 81 - 115
  • [29] ABELIAN CATEGORIES VERSUS ABELIAN 2-CATEGORIES
    Pirashvili, Teimuraz
    GEORGIAN MATHEMATICAL JOURNAL, 2009, 16 (02) : 353 - 368
  • [30] 2-CATEGORIES AND 2-KNOTS
    FISCHER, JE
    DUKE MATHEMATICAL JOURNAL, 1994, 75 (02) : 493 - 526