# Affineness of some quotient dur sheaves of a super affine group - Mathematics > Representation Theory

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Abstract: We prove that given a super affine closed subgroup $H$ of a super affinegroup $G$ over a field $k$ of charctersitic $\mathrm{ch} k e 2$, the dur$k$-sheaf $G\tilde{\tilde{-}} H$ of right cosets is affine if the affine$k$-group $\bar{H}$ assocoiated to $H$ is a reductive or b pro-finite.Especially when $G$ is algebraic, the result in Case a gives rise to apositive answer to Brundan-s question which was recently discussed by Zubkov\cite{Z}.

Autor: Akira Masuoka

Fuente: https://arxiv.org/