Mathematics – Quantum Algebra
Scientific paper
2009-11-19
Rev. Un. Mat. Argentina 51:1 (2010), 79-94
Mathematics
Quantum Algebra
15 pages. Corollary 3.7, Theorem 3.8, missing hypothesis in Theorem 3.13, and one reference added. Misprints corrected.
Scientific paper
In previous work, to each Hopf algebra H and each invertible right two-cocycle on H, Eli Aljadeff and the first-named author attached a subalgebra B of the free commutative Hopf algebra S generated by the coalgebra underlying H; the algebra B is the subalgebra of coinvariants of a generic Hopf Galois extension. 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 by certain elements arising from the theory of polynomial identities for comodule algebras developped jointly with Aljadeff.
Kassel Christian
Masuoka Akira
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