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

DOI10.1080/00927872.2019.1584811zbMath1460.17033arXiv1801.09239OpenAlexW2928985545MaRDI QIDQ5227700

Elizaveta Vishnyakova

Publication date: 7 August 2019

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

Full work available at URL: https://arxiv.org/abs/1801.09239

zbMATH Keywords

Lie superalgebra of vector fieldsflag supermanifolds

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Supermanifolds and graded manifolds (58A50) Analysis on supermanifolds or graded manifolds (58C50)

Cites Work

• Vector fields on \(\mathfrak{gl}_{m|n}(\mathbb{C})\)-flag supermanifolds
• Vector fields on \(\Pi \)-symmetric flag supermanifolds
• On holomorphic functions on a compact complex homogeneous supermanifold
• On complex Lie supergroups and split homogeneous supermanifolds
• Cohomology of G/P for classical complex Lie supergroups G and characters of some atypical G-modules
• Two families of flag supermanifolds
• Vector fields on \(\mathfrak{osp}_{2m | 2n}(\mathbb{C})\)- and \(\pi \mathfrak{sp}_n(\mathbb{C})\)-flag supermanifolds
• Automorphism groups of compact complex supermanifolds
• Highest weight Harish-Chandra supermodules and their geometric realizations
• Mathematical foundations of supersymmetry
• The Minkowski and conformal superspaces
• Lie superalgebras of vector fields on flag supermanifolds
• SUPERORBITS
• Lie superalgebras
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