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- W2125085059 abstract "Let π be a group and let H = {Hα}α∈π be a Hopf π-coalgebra in the sense of Turaev [8]. Let H act weakly on an algebra A and σ : H1⊗H1 → A a k-linear map. Then we first introduce the notion of a π-crossed product A#σH = {A#σHα}α∈π and find some sufficient and necessary conditions under which each A#σHα forms an algebra. Next we define a comultiplication, a counit and an antipode on A#σH making it into a Hopf π-coalgebra. Finally, we obtain the duality theorem of π-crossed product A#σH, generalizing Corollary 5.8 in the authors’ paper [6]. Mathematics Subject Classification (2000): 16W30" @default.
- W2125085059 created "2016-06-24" @default.
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- W2125085059 date "2008-01-01" @default.
- W2125085059 modified "2023-09-27" @default.
- W2125085059 title "ON GROUP CROSSED PRODUCTS" @default.
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