6 citations · 8 across the 5 of their papers we have counts for
5 papers
Quasi-reductive supergroups with small even parts
Alexandr N. Zubkov
We describe all supergroups with the largest even supersubgroups being isomorphic to or . These results are applied to the descriptio…
Invariants of and in positive characteristic
A. N. Zubkov, I. P. Shestakov
Invariants of and , both acting on several copies of octonions, have been decribed in \cite{schw2} over a ground field of characteristic zero. In the current manuscr…
Quotient sheaves of algebraic supergroups are superschemes
Akira Masuoka, Alexander N. Zubkov
To generalize some fundamental results on group schemes to the super context, we study the quotient sheaf of an algebraic supergroup by its closed supersubgroup…
Donkin-Koppinen filtration for general linear supergroup
R. la Scala, A. N. Zubkov
We consider a generalization of Donkin-Koppinen filtrations for coordinate superalgebras of general linear supergroups. More precisely, if is a general linear supergrou…
Affine quotients of supergroups
A. N. Zubkov
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 a…