吉林大学学报（理学版）2017，Vol.55Issue(4)：771-778,8.DOI:10.13413/j.cnki.jdxblxb.2017.04.03
Turaev辫子群范畴和Doi-Hopf模
Turaev Braided Group Categories and Doi-Hopf Modules
摘要
Abstract
Let G be a group,using the properties of Turaev braided group categories,we constructed a Turaev braided G-category over Doi-Hopf datum (H,A,C),where H,A,C were Hopf algebras.Furthermore,when C was finite-dimensional Hopf algebra,we constructed a quasitriangular Turaev G-coalgebra A#H C* over a family of Smash product algebras {A#HC*(α)}α∈G whose representation category and AMC(H) were isomorphic.关键词
Doi-Hopf模/TuraevG-余代数/Turaev辫子G-范畴Key words
Doi-Hopf module/Turaev G-coalgebra/Turaev braided G-category分类
数理科学引用本文复制引用
郭双建,张晓辉..Turaev辫子群范畴和Doi-Hopf模[J].吉林大学学报（理学版）,2017,55(4):771-778,8.基金项目
国家自然科学基金(批准号:11371088)、 贵州省科技厅项目基金(批准号:黔科合J字[2014]2045 （批准号:11371088）
黔科合基础[2016]1021)、 贵州省高校优秀科技创新人才支持计划(批准号:黔教合KY字[2015]481)和2016年贵州财经大学数学重点学科项目. （批准号:黔教合KY字[2015]481）
