摘要
设(H,R)为拟三角Hopf代数,(B,<｜>)为余拟三角Hopf代数.我们证明了范畴BHL(A)是一个张量范畴,推广了文献[2]中的结果.进一步,我们找到了一些条件使得BHL(A)成为一个辫子张量范畴,推广了文献[4]的结果.
Let (H,R) be a quasitriangular Hopf algebra and (B, <｜>) a coquasitriangular Hopf algebra. We show that the categories BHL(A) (consists of the relative (B,A)-Hopf modules,the generalized Long modules and the left A#H-modules) is a monoidal category, generalizing Cohen-Westreich's results in [2]. Furthermore,we find conditions under which the category BHL(A) turns into a braided monoidal category, generalizing the results in [4].
出处
《河南师范大学学报（自然科学版）》
CAS
CSCD
2003年第4期1-6,共6页
Journal of Henan Normal University(Natural Science Edition)
基金
ThisresearchissupportedbyagrantofNSFofChina(19601015)
theScienceFoundationfordistinguishedyoungscholarsofHenanProvince
alsoagrantawardedtohimbyNSFofHenanProvice (994 0 5 180 0 )
关键词
余拟三角Hopf代数
辫子张量范畴
上代数
独异点类
quasitriangular Hopf algebra
coquasitriangular Hopf algebra
generalized Long module category
