Non-abelian Hopf Cohomology of Radford products

Details Non-abelian Hopf Cohomology of Radford products Non-abelian Hopf Cohomology of Radford products

2009-05-05

arxiv.org/abs/0905.0581v1

Mathematics

K-Theory and Homology

Scientific paper

We study the non-abelian Hopf cohomology theory of Radford products with coefficients in a comodule algebra. We show that these sets can be expressed in terms of the non-abelian Hopf cohomology theory of each factor of the Radford product. We write down an exact sequence relating these objects. This allows to compute explicitly the non-abelian Hopf cohomology sets in large classes of examples.

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