Categorification and Quasi-Hopf Algebras

被引：4
|
作者：
Chang Wen-Jing [1 ]
Wang Zhi-Xi [1 ]
Wu Ke [1 ]
Yang Zi-Feng [1 ]
机构：
[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2011年 / 56卷 / 02期
基金：
中国国家自然科学基金;
关键词：
categorification; quasi-Hopf algebras; QUANTUM-FIELD THEORY; CATEGORIES;
D O I：
10.1088/0253-6102/56/2/02
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We categorify the notion of coalgebras by imposing a co-associative law up to some isomorphisms on the co-multiplication map and requiring that these isomorphisms satisfy certain law of their own, which is called the co-pentagon identity. We also set up a 2-category of 2-coalgebras. The purpose of this study is from the idea of reconsidering the quasi-Hopf algebras by the categorification process, so that we can study the theory of quasi-Hopf algebras and their representations in some new framework of higher category theory in natural ways.
引用
收藏
页码：207 / 210
页数：4
相关论文
共 50 条
  • [1] Categorification and Quasi-Hopf Algebras
    常文静
    王志玺
    吴可
    杨紫峰
    [J]. Communications in Theoretical Physics, 2011, 56 (08) : 207 - 210
  • [2] Involutory Quasi-Hopf Algebras
    D. Bulacu
    S. Caenepeel
    B. Torrecillas
    [J]. Algebras and Representation Theory, 2009, 12 : 257 - 285
  • [3] Involutory Quasi-Hopf Algebras
    Bulacu, D.
    Caenepeel, S.
    Torrecillas, B.
    [J]. ALGEBRAS AND REPRESENTATION THEORY, 2009, 12 (2-5) : 257 - 285
  • [4] Modified traces for quasi-Hopf algebras
    Berger, Johannes
    Gainutdinov, Azat M.
    Runkel, Ingo
    [J]. JOURNAL OF ALGEBRA, 2020, 548 : 96 - 119
  • [5] Double wreath quasi-Hopf algebras
    Bulacu, D.
    Popescu, D.
    Torrecillas, B.
    [J]. JOURNAL OF ALGEBRA, 2025, 662 : 1 - 71
  • [6] Poisson algebras associated to quasi-Hopf algebras
    Enriquez, B
    Halbout, G
    [J]. ADVANCES IN MATHEMATICS, 2004, 186 (02) : 363 - 395
  • [7] On integrals and cointegrals for quasi-Hopf algebras
    Bulacu, Daniel
    Caenepeel, Stefaan
    [J]. JOURNAL OF ALGEBRA, 2012, 351 (01) : 390 - 425
  • [8] Quiver approaches to quasi-Hopf algebras
    Huang, Hua-Lin
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (04)
  • [9] Factorizable quasi-Hopf algebras - applications
    Bulacu, D
    Torrecillas, B
    [J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2004, 194 (1-2) : 39 - 84
  • [10] Quotients of finite Quasi-Hopf algebras
    Schauenburg, P
    [J]. HOPF ALGEBRAS IN NONCOMMUTATIVE GEOMETRY AND PHYSICS, 2005, 239 : 281 - 290
12345