Categorification and Quasi-Hopf Algebras  

作　　者：常文静 王志玺 吴可 杨紫峰 

机构地区：[1]School of Mathematical Science,Capital Normal University

出　　处：《Communications in Theoretical Physics》2011年第8期207-210,共4页理论物理通讯（英文版）

基　　金：Supported by National Natural Science Foundation of China under Grant Nos. 10975102, 11031005 10871135, 10871227, and PHR201007107

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 certairl law of their own, which is called the copentagon 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.

关 键 词：CATEGORIFICATION quasi-Hopf algebras 

分 类 号：O153[理学—数学]