On the Cohomology of Relative Hopf Modules |
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Authors: | S. Caenepeel T. Guédénon |
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Affiliation: | 1. Faculty of Engineering , Vrije Universiteit Brussel , Brussels, Belgium scaenepe@vub.ac.be;3. Faculty of Engineering , Vrije Universiteit Brussel , Brussels, Belgium |
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Abstract: | Let H be a Hopf algebra over a field k, and A an H-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. |
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Keywords: | Coinvariants Cosemisimple Hopf algebra Relative Hopf module Right derived functor |
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