Vector fields on $\Pi$-symmetric flag supermanifolds

E. G. Vishnyakova

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arXiv · 1506.02295

Vector fields on $\Pi$-symmetric flag supermanifolds

E. G. Vishnyakova

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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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BibTeX RIS

E. G. Vishnyakova. 2015-06-07. Vector fields on $\Pi$-symmetric flag supermanifolds. https://arxiv.org/abs/1506.02295

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