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arXiv · 1805.04931

On the cohomology of comodules over smash coproducts

S. Caenepeel·T. Guédénon
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Abstract

We consider the category of comodules over a smash coproduct coalgebra $C\smashco H$. We show that there is a Grothendieck spectral sequence connecting the derived functors of the Hom functors coming from $C\smashco H$-colinear, $H$-colinear and rational $C$-colinear morphisms. We give several applications and connect our results to existing spectral sequences in the literature.

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BibTeXRIS

S. Caenepeel, T. Guédénon. 2018-05-13. On the cohomology of comodules over smash coproducts. https://arxiv.org/abs/1805.04931

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