Vector fields on $\Pi$-symmetric flag supermanifolds
Differential Geometry
2015-06-09 v1 Mathematical Physics
Complex Variables
math.MP
Representation Theory
Abstract
The main result of this paper is the computation of the Lie superalgebras of holomorphic vector fields on the complex -symmetric flag supermanifolds, introduced by Yu.I.~Manin. We prove that with one exception any vector field is fundamental with respect to the natural action of the Lie superalgebra .
Keywords
Cite
@article{arxiv.1506.02295,
title = {Vector fields on $\Pi$-symmetric flag supermanifolds},
author = {E. G. Vishnyakova},
journal= {arXiv preprint arXiv:1506.02295},
year = {2015}
}