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Abstract: In previous work, to each Hopf algebra H and each invertible righttwo-cocycle on H, Eli Aljadeff and the first-named author attached a subalgebraB of the free commutative Hopf algebra S generated by the coalgebra underlyingH; the algebra B is the subalgebra of coinvariants of a generic Hopf Galoisextension. In this paper we give conditions under which S is faithfully flat,or even free, as a B-module. We also show that B is generated as an algebra bycertain elements arising from the theory of polynomial identities for comodulealgebras developped jointly with Aljadeff.



Autor: Christian Kassel, Akira Masuoka

Fuente: https://arxiv.org/



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