Vector fields on $\mathfrak{gl}_{m|n}(\mathbb C)$-flag supermanifolds
Differential Geometry
2015-09-15 v1 Complex Variables
Representation Theory
Abstract
The main result of this paper is the computation of the Lie superalgebras of holomorphic vector fields on complex flag supermanifolds, introduced by Yu.I.Manin. We prove that with several exceptions any holomorphic vector field is fundamental with respect to the natural action of the Lie superalgebra .
Keywords
Cite
@article{arxiv.1509.04047,
title = {Vector fields on $\mathfrak{gl}_{m|n}(\mathbb C)$-flag supermanifolds},
author = {Elizaveta Vishnyakova},
journal= {arXiv preprint arXiv:1509.04047},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1506.02295