Monoidal Hom-Hopf 群-余代数上的Drinfeld量子偶

摘要

In this paper, Drinfeld double over monoidal Hom-Hopf group-coalgebras is in-troduced. Via the definition of crossed monoidal Hom-Hopf T-coalgebras and the definition of quasitriangular monoidal Hom-Hopf group-coalgebras, we get the result that this Drinfeld double is a quasitriangular monoidal Hom-Hopf group-coalgebra.%本文研究了monoidal Hom-Hopf 群-余代数上的Drinfeld量子偶的问题。利用交叉monoidal Hom-Hopf T-余代数的定义及拟三角monoidal Hom-Hopf 群-余代数的定义，获得了此Drinfeld量子偶是拟三角monoidal Hom-Hopf群-余代数的结果。