The van Est spectral sequence for Hopf algebras

Details The van Est spectral sequence for Hopf algebras The van Est spectral sequence for Hopf algebras

2003-10-13

arxiv.org/abs/math/0310167v1

Mathematics

Quantum Algebra

15 pages, LaTeX

Scientific paper

Various aspects of the de Rham cohomology of Hopf algebras are discussed. In particular, it is shown that the de Rham cohomology of an algebra with the differentiable coaction of a cosemisimple Hopf algebra with trivial 0-th cohomology group, reduces to the de Rham cohomology of (co)invariant forms. Spectral sequences are discussed and the van Est spectral sequence for Hopf algebras is introduced. A definition of Hopf-Lie algebra cohomology is also given.

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