Injective Hopf bimodules, cohomologies of infinite dimensional Hopf algebras and graded-commutativity of the Yoneda product

Details Injective Hopf bimodules, cohomologies of infinite dimensional Hopf algebras and graded-commutativity of the Yoneda product Injective Hopf bimodules, cohomologies of infinite dimensional Hopf algebras and graded-commutativity of the Yoneda product

2002-07-18

arxiv.org/abs/math/0207154v2

Mathematics

K-Theory and Homology

17 pages; some proofs changed, references deleted

Scientific paper

We prove that the category of Hopf bimodules over any Hopf algebra has enough
injectives, which enables us to extend some results on the unification of Hopf
bimodule cohomologies of [T1,T2] to the infinite dimensional case. We also
prove that the cup-product defined on these cohomologies is graded-commutative.

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