Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra
Hom-L-R-smash products, Hom-diagonal crossed products and the Drinfeld double of a Hom-Hopf algebra
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DOI：
10.1016/j.jalgebra.2015.05.032
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发表时间：
2014-03
期刊：
影响因子：
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通讯作者：
A. Makhlouf;F. Panaite
中科院分区：
文献类型：
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作者：
A. Makhlouf;F. Panaite
引入了L-R-smash积的Hom-模拟，并利用它定义了对角交叉积的Hom-模拟。当H是一个具有双射对极和双射结构映射的有限维Hom-Hopf代数时，我们定义了H的Drinfeld双，它的代数结构是一个Hom-diagonal交叉积，并且它具有所有预期的性质，即它是拟三角的，其上的模与H上的左右Yetter-Drinfeld模重合.
We introduce the Hom-analogue of the L-R-smash product and use it to define the Hom-analogue of the diagonal crossed product. WhenHis a finite dimensional Hom-Hopf algebra with bijective antipode and bijective structure map, we define the Drinfeld double ofH; its algebra structure is a Hom-diagonal crossed product and it has all expected properties, namely it is quasitriangular and modules over it coincide with left–right Yetter–Drinfeld modules overH.