English

On the cohomology of relative Hopf modules

Rings and Algebras 2007-05-23 v2

Abstract

Let HH be a Hopf algebra over a field kk, and AA an HH-comodule algebra. The categories of comodules and relative Hopf modules are then Grothendieck categories with enough injectives. We study the derived functors of the associated Hom functors, and of the coinvariants functor, and discuss spectral sequences that connect them. We also discuss when the coinvariants functor preserves injectives.

Keywords

Cite

@article{arxiv.math/0503687,
  title  = {On the cohomology of relative Hopf modules},
  author = {S. Caenepeel and T. Guédénon},
  journal= {arXiv preprint arXiv:math/0503687},
  year   = {2007}
}

Comments

23 pages