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- W2889842291 abstract "The forgetful functor $mathscr{U}:mathscr{V}^mathscr{G}rightarrow mathscr{V}$ from the monoidal category of Eilenberg-Moore coalgebras for a cocontinuous Hopf comonad $mathscr{G}$ induces a change of base functor $widetilde{mathscr{U}}:mathscr{V}^mathscr{G}text{-}mathrm{Mod}rightarrow mathscr{V}text{-}mathrm{Mod}$ that creates left Kan extensions. This has implications for characterizing the absolute colimit completion of $mathscr{V}^mathscr{G}$-categories. A motivating example was the category of differential graded abelian groups obtained as the category of coalgebras for a Hopf monoid in the category of abelian groups." @default.
- W2889842291 created "2018-09-27" @default.
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- W2889842291 date "2018-09-07" @default.
- W2889842291 modified "2023-09-27" @default.
- W2889842291 title "Extension creation under comonadic base change" @default.
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