M. I. Kuznetsov, A. V. Kondrateva, N. G. Chebochko, “Simple <nobr>$14$</nobr>-dimensional Lie algebras in characteristic two”, Zap. Nauchn. Sem. POMI, 2017, Volume 460,Pages <nobr>158

This article is cited in 2 papers

Simple $14$-dimensional Lie algebras in characteristic two

M. I. Kuznetsov^a, A. V. Kondrateva^a, N. G. Chebochko^b

^a Lobachevski State University of Nizhni Novgorod, Nizhni Novgorod, Russia
^b National Research University "Higher School of Economics", Nizhni Novgorod, Russia

Abstract: Using the theory of deformations of Lie algebra $G_2$ we construct isomorphisms between the known simple $14$-dimensional Lie algebras over a field of even characteristic and Lie algebras of Cartan type of $S$ or $H$.

Key words and phrases: Lie algebra of characteristic $2$, Lie algebra of Cartan type, integrable cocycle, deformation.

UDC: 512.554.31

Received: 31.10.2017