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- W2039528458 abstract "I construct a generalized twisted smash product A★ H B, which gives an abstract structure of Cibils-Rosso's algebra X associated to a finite-dimensional Hopf algebra H, for the H-bimodule algebra A and H-bicomodule algebra B. I show that the Doi-Koppinen Hopf (H, B, D)-bimodules are modules over a certain algebra which is of this type. Moreover, if D is finitely generated projective as a k-module, there exists a k-module-preserving equivalence of categories between the category of Doi-Koppinen (H, B, D)-Hopf bimodules and the category of left (D *op ⊗ D *)★ H⊗H op (B ⊗ B op )-modules." @default.
- W2039528458 created "2016-06-24" @default.
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- W2039528458 date "2001-08-31" @default.
- W2039528458 modified "2023-09-27" @default.
- W2039528458 title "DOI-KOPPINEN HOPF BIMODULES ARE MODULES" @default.
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- W2039528458 doi "https://doi.org/10.1081/agb-100106779" @default.
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