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 Zap. Nauchn. Sem. POMI, 2017, Volume 460, Pages 158–167 (Mi znsl6475)

Simple $14$-dimensional Lie algebras in characteristic two

M. I. Kuznetsova, A. V. Kondratevaa, N. G. Chebochkob

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.

 Funding Agency Grant Number National Research University Higher School of Economics 90

Full text: PDF file (174 kB)
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UDC: 512.554.31

Citation: M. I. Kuznetsov, A. V. Kondrateva, N. G. Chebochko, “Simple $14$-dimensional Lie algebras in characteristic two”, Problems in the theory of representations of algebras and groups. Part 32, Zap. Nauchn. Sem. POMI, 460, POMI, St. Petersburg, 2017, 158–167

Citation in format AMSBIB
\Bibitem{KuzKonChe17} \by M.~I.~Kuznetsov, A.~V.~Kondrateva, N.~G.~Chebochko \paper Simple $14$-dimensional Lie algebras in characteristic two \inbook Problems in the theory of representations of algebras and groups. Part~32 \serial Zap. Nauchn. Sem. POMI \yr 2017 \vol 460 \pages 158--167 \publ POMI \publaddr St.~Petersburg \mathnet{http://mi.mathnet.ru/znsl6475}