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

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Abstract

The main result of this paper is the computation of the Lie superalgebras of holomorphic vector fields on the complex \(\Pi \)-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 \({{\mathfrak {q}}}_n({{\mathbb {C}}})\).

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Authors and Affiliations

  1. Max Planck Institute for Mathematics, Bonn, Germany

    E. G. Vishnyakova

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  1. E. G. Vishnyakova
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Correspondence to E. G. Vishnyakova.

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Supported by Max Planck Institute for Mathematics, Bonn.

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Vishnyakova, E.G. Vector fields on \(\Pi \)-symmetric flag supermanifolds. São Paulo J. Math. Sci. 10, 20–35 (2016). https://doi.org/10.1007/s40863-015-0008-2

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  • DOI: https://doi.org/10.1007/s40863-015-0008-2

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