Affine quotients of supergroups

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dc.creatorZubkov, A. N.
dc.date2008-04-22
dc.date2008-09-23
dc.date.accessioned2026-07-07T10:04:11Z
dc.date.available2026-07-07T10:04:11Z
dc.descriptionIn this article we consider sheaf quotients of affine superschemes by affine supergroups that act on them freely. The necessary and sufficient conditions for such quotients to be affine are given. If $G$ is an affine supergroup and $H$ is its normal supersubgroup, then we prove that a dur $K$-sheaf $\tilde{\tilde{G/H}}$ is again affine supergroup. Additionally, if $G$ is algebraic, then a $K$-sheaf $\tilde{G/H}$ is also algebraic supergroup and it coincides with $\tilde{\tilde{G/H}}$. In particular, any normal supersubgroup of an affine supergroup is faithfully exact.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0804.3493
dc.identifierhttp://arxiv.org/abs/0804.3493
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169576
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject16W30; 16W55; 17A70; 20G42
dc.titleAffine quotients of supergroups
dc.typetext

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