Turaev群代数Doi-Hopf模  

Doi-Hopf Modules for Turaev Group Algebras

作　　者：周璇 

机构地区：[1]江苏第二师范学院数学与信息技术学院,江苏南京210013

出　　处：《江苏第二师范学院学报》2017年第12期6-8,共3页Journal of Jiangsu Second Normal University

摘　　要：设G是群,H是Turaev群代数.首先引入了G-H-模余代数,G-H-余模代数及Doi-Hopf G-模等概念,其次给出了Turaev群代数H的Doi-Hopf G-模范畴之间的一些关系,最后得出了α-G-YetterDrinfel'd模范畴YD_α(H)和Doi-Hopf G-模范畴~H_αM_(G-H)(HcopH)同构的结论,即α-G-Yetter-Drinfel'd模是特殊的Doi-Hopf G-模.Let H be a Turaev G-algebra over group G. Firstly,the concepts of G-H-module coalgebras,G-H-comudule algebras and Doi-Hopf G-modules are introduced,and then some relations between Doi-Hopf G-module categories are given. Finally,the main result is obtained: the α-G-YetterDrinfeld module category YDα(H) is isomorphic to the Doi-Hopf G-module categoryHαMG-H( HcopH),i.e.,the α-G-Yetter-Drinfeld modules are the special cases of the Doi-Hopf G-modules.

关 键 词：DOI-HOPF G-模 Turaev群代数 G-H-模余代数 G-H-余模代数 α-G-Yetter-Drinfel'd模 

分 类 号：O153.1[理学—数学]