L-R-smash product for (quasi) Hopf algebras
نویسندگان
چکیده
We introduce a more general version of the so-called L-R-smash product and study its relations with other kinds of crossed products (two-sided smash and crossed product and diagonal crossed product).
منابع مشابه
2 5 A ug 2 00 5 L - R - smash product for ( quasi ) Hopf algebras ∗
We introduce a more general version of the so-called L-R-smash product and study its relations with other kinds of crossed products (two-sided smash and crossed product and diagonal crossed product). We also give an interpretation of the L-R-smash product in terms of an L-R-twisting datum.
متن کاملGorenstein global dimensions for Hopf algebra actions
Let $H$ be a Hopf algebra and $A$ an $H$-bimodule algebra. In this paper, we investigate Gorenstein global dimensions for Hopf algebras and twisted smash product algebras $Astar H$. Results from the literature are generalized.
متن کاملA Morita context and Galois extensions for Quasi-Hopf algebras
If H is a finite dimensional quasi-Hopf algebra and A is a left H-module algebra, we prove that there is a Morita context connecting the smash product A#H and the subalgebra of invariants A . We define also Galois extensions and prove the connection with this Morita context, as in the Hopf case.
متن کاملSmash biproducts of algebras and coalgebras
Let L and H be algebras and coalgebras (but not necessarily bialgebras, and consider two maps R : H ⊗L → L⊗H and W : L⊗H → H ⊗L. We introduce a product K = L W⊲⊳R H , and we give necessary and sufficient conditions for K to be a bialgebra. Our construction generalizes products introduced by Majid [13] and Radford [20]. Also some of the pointed Hopf algebras that were recently constructed by Bea...
متن کاملOn the Cohomology of a Smash Product of Hopf Algebras
A five term sequence for the low degree cohomology of a smash product of (cocommutative) Hopf algebras is obtained, generalizing that of Tahara for a semi-direct product of groups
متن کامل