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

页码：207 / 210

页数：4

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