Abstract
Let $H$ be a weak Hopf algebra in the sense of Böhm and Szlachányi [3] and $A$ a weak $H$-bimodule algebra. Then in this paper we first introduce the notion of a weak twisted smash product $A \star H$ and then find some sufficient and necessary conditions making it into a weak bialgebra. Furthermore, we give a Maschke-type theorem for the weak twisted smash product over semisimple weak Hopf algebra $H$, which generalizes the well-known Maschke-type theorem in [5, 15, 17]. Finally, we obtain an analogue of the duality theorem for the weak twisted smash products.
Citation
Xiao-yan Zhou. "MASCHKE-TYPE THEOREM AND DUALITY THEOREM FOR WEAK TWISTED SMASH PRODUCTS." Taiwanese J. Math. 15 (6) 2701 - 2719, 2011. https://doi.org/10.11650/twjm/1500406492
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