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Zapiski Nauchnykh Seminarov POMI, 2017, Volume 460, Pages 158–167 (Mi znsl6475)  
This article is cited in 2 scientific papers (total in 2 papers)

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
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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
Received: 31.10.2017
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 4, Pages 474–480
DOI: https://doi.org/10.1007/s10958-019-04364-0
Document Type: Article
UDC: 512.554.31
Language: Russian
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; J. Math. Sci. (N. Y.), 240:4 (2019), 474–480
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}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 240
\issue 4
\pages 474--480
\crossref{https://doi.org/10.1007/s10958-019-04364-0}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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