浙江师大学报(自然科学版)
浙江師大學報(自然科學版)
절강사대학보(자연과학판)
JOURNAL OF ZHEJIANG NORMAL UNIVERSITY
2001年
3期
243-245
,共3页
余拟三角双代数%相关Hopf模%张量范畴
餘擬三角雙代數%相關Hopf模%張量範疇
여의삼각쌍대수%상관Hopf모%장량범주
设(H,σ)是余拟三角双代数,A为右H-余模代数,则有相关Hopf模范畴MHA.在MHA中若定义张量积运算,则证明了MHA是一个张量范畴.同时给出了MHA是辫子张量范畴的一个充分条件.特别地,MH是辫子张量范畴.
設(H,σ)是餘擬三角雙代數,A為右H-餘模代數,則有相關Hopf模範疇MHA.在MHA中若定義張量積運算,則證明瞭MHA是一箇張量範疇.同時給齣瞭MHA是辮子張量範疇的一箇充分條件.特彆地,MH是辮子張量範疇.
설(H,σ)시여의삼각쌍대수,A위우H-여모대수,칙유상관Hopf모범주MHA.재MHA중약정의장량적운산,칙증명료MHA시일개장량범주.동시급출료MHA시변자장량범주적일개충분조건.특별지,MH시변자장량범주.
Let (H,σ) be a coquasitriangular bialgebra,Let A be a right H-comodule algebra,then,there is a category MHA of relative Hopf module,it was proved a binary operation in MHA,MHA to be a tensor category. Furthermore,MHA would be a braided tensor category if giving suitable conditions.As a corollary MH was also a braided tensor category.