Vector fields on $\mathfrak{osp}_{2m|2n}(\mathbb C)$- and $\pi\mathfrak{sp}_{n}(\mathbb C)$-flag supermanifolds

E. G. Vishnyakova

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arXiv · 1706.00128

Vector fields on $\mathfrak{osp}_{2m|2n}(\mathbb C)$- and $\pi\mathfrak{sp}_{n}(\mathbb C)$-flag supermanifolds

E. G. Vishnyakova

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Abstract

The paper is devoted to a computation of the Lie superalgebras of holomorphic vector fields on isotropic flag supermanifolds of maximal type corresponding to the Lie superalgebras $\mathfrak{osp}_{2m|2n}(\mathbb C)$ and $\pi\mathfrak{sp}_{n}(\mathbb C)$. The result is that under some restrictions on the flag type any holomorphic vector field is fundamental with respect to the natural action of the Lie superalgebras $\mathfrak{osp}_{2m|2n}(\mathbb C)$ or $\pi\mathfrak{sp}_{n}(\mathbb C)$.

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BibTeX RIS

E. G. Vishnyakova. 2017-06-01. Vector fields on $\mathfrak{osp}_{2m|2n}(\mathbb C)$- and $\pi\mathfrak{sp}_{n}(\mathbb C)$-flag supermanifolds. https://arxiv.org/abs/1706.00128

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