Vector fields on \(\Pi \)-symmetric flag supermanifolds

DOI10.1007/s40863-015-0008-2zbMath1355.17026arXiv1506.02295OpenAlexW2963453105WikidataQ108388320 ScholiaQ108388320MaRDI QIDQ332606

E. G. Vishnyakova

Publication date: 8 November 2016

Published in: São Paulo Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02295

zbMATH Keywords

vector fieldLie superalgebraflag 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 (6)

Vector fields on \(\mathfrak{gl}_{m|n}(\mathbb{C})\)-flag supermanifolds ⋮ Vector fields on \(\mathfrak{osp}_{2m | 2n}(\mathbb{C})\)- and \(\pi \mathfrak{sp}_n(\mathbb{C})\)-flag supermanifolds ⋮ Rigidity of flag supermanifolds ⋮ Automorphisms and real structures for a \(\Pi\)-symmetric super-Grassmannian ⋮ On holomorphic functions on a compact complex homogeneous supermanifold ⋮ Vector fields on osp2m+1|2n(C)-flag supermanifolds

Cites Work

• On holomorphic functions on a compact complex homogeneous supermanifold
• On complex Lie supergroups and split homogeneous supermanifolds
• Automorphism groups of compact complex supermanifolds
• Lie superalgebras of vector fields on flag supermanifolds
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