The van Est spectral sequence for Hopf algebras
Quantum Algebra
2015-06-26 v1
Abstract
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.
Cite
@article{arxiv.math/0310167,
title = {The van Est spectral sequence for Hopf algebras},
author = {EJ Beggs and Tomasz Brzezinski},
journal= {arXiv preprint arXiv:math/0310167},
year = {2015}
}
Comments
15 pages, LaTeX