6 citations
- Pennsylvania State UniversityUS2 papers
- American University of ParisFR1 paper
- Ibaraki UniversityJP1 paper
- Institute of Astronomy and Astrophysics, Academia SinicaTW1 paper
- Otsuma Women's UniversityJP1 paper
- Siberian Branch of the Russian Academy of SciencesRU1 paper
- Tokyo Gakugei UniversityJP1 paper
- Universidade de São PauloBR1 paper
- University of TsukubaJP1 paper
6 papers · 1 filter
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…
Generators of supersymmetric polynomials in positive characteristic
A. N. Grishkov, F. Marko, A. N. Zubkov
Kantor and Trishin described the algebra of polynomial invariants of the adjoint representation of the Lie supergalgebra and a related algebra of what they called p…
On quotients of affine superschemes over finite supergroups
A. N. Zubkov
In this article we consider sheaf quotients of affine superschemes by finite supergroups that act on them freely. More precisely, if a finite supergroup acts on an affine super…
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…
Semi-invariants of mixed representations of quivers
A. A. Lopatin, A. N. Zubkov
The notion of mixed representations of quivers can be derived from ordinary quiver representations by considering the dual action of groups on "vertex" vector spaces together with…
Invariants of mixed representations of quivers I
A. N. Zubkov
We introduce a new concept of mixed representations of quivers that is a generalization of ordinary representations of quivers and orthogonal (symplectic) representations of symmet…