Vector fields on \(\mathfrak{gl}_{m|n}(\mathbb{C})\)-flag supermanifolds

DOI10.1016/J.JALGEBRA.2016.04.004zbMath1355.17025arXiv1509.04047OpenAlexW2338825979MaRDI QIDQ288484

E. G. Vishnyakova

Publication date: 26 May 2016

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04047

zbMATH Keywords

Lie superalgebraholomorphic vector fieldsflag supermanifold

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Supermanifolds and graded manifolds (58A50) Complex supergeometry (32C11)

Related Items (3)

Vector fields on \(\mathfrak{osp}_{2m | 2n}(\mathbb{C})\)- and \(\pi \mathfrak{sp}_n(\mathbb{C})\)-flag supermanifolds ⋮ Rigidity of flag supermanifolds ⋮ Vector fields on osp2m+1|2n(C)-flag supermanifolds

Cites Work

• Vector fields on \(\Pi \)-symmetric flag supermanifolds
• On holomorphic functions on a compact complex homogeneous supermanifold
• On complex Lie supergroups and split homogeneous supermanifolds
• Mathematical foundations of supersymmetry
• Lie superalgebras of vector fields on flag supermanifolds
• Lie superalgebras
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