Vector fields on osp2m+1|2n(C)-flag supermanifolds

Abstract

We compute the Lie superalgebras of holomorphic vector fields on isotropic flag supermanifolds of maximal type corresponding to the Lie superalgebra $\mathfrak{o}\mathfrak{s}{\mathfrak{p}}_{2m-1|2n}(\mathbb{C}).$

Keywords:

• Lie superalgebra of vector fields
• flag supermanifolds

MATHEMATICS SUBJECT CLASSIFICATION:

• 17A70
• 58A50
• 58C50

Additional information

Funding

E. V. is partially supported by SFB TR 191, Tomsk State University, Competitiveness Improvement Program and by Programa Institucional de Auxílio à Pesquisa de Docentes Recém-Contratados ou Recém-Doutorados, UFMG 2018.