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arXiv · 1410.3645

Deformations of current Lie algebras. I. Small algebras in characteristic 2

Alexander Grishkov·Pasha Zusmanovich
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Abstract

We compute low-degree cohomology of current Lie algebras extended over the 3-dimensional simple algebra, compute deformations of related semisimple Lie algebras, and apply these results to classification of simple Lie algebras of absolute toral rank 2 and having a Cartan subalgebra of toral rank one. Everything is in characteristic 2.

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Alexander Grishkov, Pasha Zusmanovich. 2014-10-14. Deformations of current Lie algebras. I. Small algebras in characteristic 2. https://doi.org/10.1016/j.jalgebra.2016.11.024

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