Affine quotients of supergroups
Representation Theory
2008-09-23 v2 Quantum Algebra
Abstract
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 is an affine supergroup and is its normal supersubgroup, then we prove that a dur -sheaf is again affine supergroup. Additionally, if is algebraic, then a -sheaf is also algebraic supergroup and it coincides with . In particular, any normal supersubgroup of an affine supergroup is faithfully exact.
Cite
@article{arxiv.0804.3493,
title = {Affine quotients of supergroups},
author = {A. N. Zubkov},
journal= {arXiv preprint arXiv:0804.3493},
year = {2008}
}
Comments
31 pages