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

Published 14 Oct 2014 in math.RA and math.KT | (1410.3645v3)

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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