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- W2912667801 abstract "We study induced model structures on Frobenius categories. In particular we consider the case where $mathcal{C}$ is the category of comodules of a supercommutative Hopf algebra $A$ over a field $k$. Given a graded Hopf algebra quotient $A to B$ satisfying some finiteness conditions, the Frobenius tensor category $mathcal{D}$ of graded $B$-comodules with its stable model structure induces a monoidal model structure on $mathcal{C}$. We consider the corresponding homotopy quotient $gamma: mathcal{C} to Ho mathcal{C}$ and the induced quotient $mathcal{T} to Ho mathcal{T}$ for the tensor category $mathcal{T}$ of finite dimensional $A$-comodules. Under some mild conditions we prove vanishing and finiteness theorems for morphisms in $Ho mathcal{T}$. We apply these results in the $Rep (GL(m|n))$-case and study its homotopy category $Ho mathcal{T}$." @default.
- W2912667801 created "2019-02-21" @default.
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- W2912667801 date "2019-01-25" @default.
- W2912667801 modified "2023-09-27" @default.
- W2912667801 title "Homotopy quotients and comodules of supercommutative Hopf algebras" @default.
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