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arXiv · 1912.11694

Global deformations of a Lie algebra of type $\bar{A_5}$

N. G. Chebochko·M. I. Kuznetsov
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Abstract

It is shown that the orbits of the space of local deformations of the Lie algebra $\bar{A_5}$ over an algebraically closed field $K$ of characteristic 2 with respect to the automorphism group $\mathrm{PGL} (6)$ correspond to $\mathrm{GL} (V)$-orbits of tri-vectors of a 6-dimensional space. For local deformations corresponding to tri-vectors of rank $\rho <6$, integrability is proved and global deformations are constructed.

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N. G. Chebochko, M. I. Kuznetsov. 2019-12-25. Global deformations of a Lie algebra of type $\bar{A_5}$. https://arxiv.org/abs/1912.11694

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