AFFINE QUOTIENTS OF SUPERGROUPS

Autor(es)

Zubkov, A. N. ^[1]

Afiliação do(s) autor(es)

^[1] Omsk State Pedag Univ, Dept Math, Omsk 644099 - Russia

• Tipo de documento: Artigo Científico
• Fonte: TRANSFORMATION GROUPS; v. 14, n. 3, p. 713-745, SEP 2009.
• Citações Web of Science: 16

Resumo

In this paper 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 G/(sic)H is again an affine supergroup. Additionally, if G is algebraic, then a K-sheaf G/(sic)H is also an algebraic supergroup and it coincides with G/(sic)H. In particular, any normal supersubgroup of an affine supergroup is faithfully exact. (AU)

• Processo FAPESP: 07/54834-9 - Alexandr Zubkov | Universidade de Omsk - Rússia
• Beneficiário: Alexandre Grichkov
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional