On the cohomology of comodules over smash coproducts

Stefaan Caenepeel, Amoussou Guedenon

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Abstract

We consider the category of comodules over a smash coproduct coalgebra. We show that there is a Grothendieck spectral sequence connecting the derived functors of the Hom functors coming from colinear morphisms over the smash coproduction, colinear morphisms over het underlying algebra and rational colinear morphisms over the underlying ecoalgebra. We give several applications and connect our results to existing spectral sequences in the literature.
Original languageEnglish
Article number1950189
Number of pages17
JournalJournal of Algebra and Its Applications
Volume18
Issue number10
DOIs
Publication statusPublished - 1 Oct 2019

Keywords

  • Comodule coalgebra
  • Hopf algebra
  • smash coproduct
  • spectral sequence

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