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arXiv 2010-01-27 0 views

Affineness of some quotient dur sheaves of a super affine group

Masuoka, Akira

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We prove that given a super affine closed subgroup H of a super affine group G over a field k of charctersitic ch k ≠ 2, the dur k-sheaf G/ H of right cosets is affine if the affine k-group H assocoiated to H is (a) reductive or (b) pro-finite. Especially when G is algebraic, the result in Case (a) gives rise to a positive answer to Brundan's question which was recently discussed by Zubkov Z.

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