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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2024, Number 88, Pages 26–36
DOI: https://doi.org/10.17223/19988621/88/3
(Mi vtgu1067)
 

This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

Automorphisms of nil-triangular subrings of chevalley algebras of type $G_2$ over the field of characteristic $2$

A. V. Kazakova

Siberian Federal University, Krasnoyarsk, Russian Federation
References:
Abstract: Let $N\Phi(K)$ be a niltriangular subalgebra of the Chevalley algebra of an associative-commutative ring $K$ with identity, associated with the root system $\Phi$ (the basis $N\Phi(K)$ consists of all elements $e_r\in\Phi^+$ of the Chevalley basis). We describe automorphisms of a niltriangular Lie ring of type $G_2$ over a field $K$ under the constraint $2K=0$. To study automorphisms, the upper and lower central series described in this paper are essentially used.
Keywords: Chevalley algebra, nil-triangular subalgebra, ring, automorphism, hypercentral automorphism.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2024-1429
This work is supported by the Krasnoyarsk Mathematical Center and financed by the Ministry of Science and Higher Education of the Russian Federation (Agreement No. 075-02-2024-1429).
Received: 26.01.2024
Accepted: April 10, 2024
Document Type: Article
UDC: 512.554
MSC: 17D99
Language: Russian
Citation: A. V. Kazakova, “Automorphisms of nil-triangular subrings of chevalley algebras of type $G_2$ over the field of characteristic $2$”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2024, no. 88, 26–36
Citation in format AMSBIB
\Bibitem{Kaz24}
\by A.~V.~Kazakova
\paper Automorphisms of nil-triangular subrings of chevalley algebras of type $G_2$ over the field of characteristic~$2$
\jour Vestn. Tomsk. Gos. Univ. Mat. Mekh.
\yr 2024
\issue 88
\pages 26--36
\mathnet{http://mi.mathnet.ru/vtgu1067}
\crossref{https://doi.org/10.17223/19988621/88/3}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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