论文标题
Drinfel'd Codouble Constuction for Monoidal Hom-Hopf代数
The Drinfel'd codouble constuction for monoidal Hom-Hopf algebra
论文作者
论文摘要
令$（h，β）$是带有Bioxtive Antipode $ s $的单型HOM-HOPF代数，在本文中，我们主要构造Drinfel'd Codouble codouble $ t（h）=（h^{op} \ otimes h^{**}，β\ otimime H^{*} \ otimes h^{op}，β^{* - 1} \ otimesβ）$在MONOIDAL HOM-HOPF代数的设置中。然后，我们证明$ t（h）$和$ \ widehat {t（h）} $都是coquasitriangular。最后，我们讨论了Drinfel'd Coduble和Heisenberg Double之间的关系，在Monoidal HOM-HOPF代数的设置中，这是该零件的概括导致\ cite {l94}的概括。
Let $(H, β)$ be a monoidal Hom-Hopf algebra with the bijective antipode $S$, In this paper, we mainly construct the Drinfel'd codouble $T(H)=(H^{op}\otimes H^{*}, β\otimes β^{*-1})$ and $\widehat{T(H)}=( H^{*}\otimes H^{op}, β^{*-1}\otimes β)$ in the setting of monoidal Hom-Hopf algebras. Then we prove both $T(H)$ and $\widehat{T(H)}$ are coquasitriangular. Finally, we discuss the relation between Drinfel'd codouble and Heisenberg double in the setting of monoidal Hom-Hopf algebras, which is a generalization of the part results in \cite{L94}.
