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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
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.
Received: 26.01.2024 Accepted: April 10, 2024
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
Linking options:
https://www.mathnet.ru/eng/vtgu1067 https://www.mathnet.ru/eng/vtgu/y2024/i88/p26
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