Mathematics – Representation Theory
Scientific paper
2008-04-22
Mathematics
Representation Theory
31 pages
Scientific paper
In 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.
No associations
LandOfFree
Affine quotients of supergroups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Affine quotients of supergroups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Affine quotients of supergroups will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-675180