Geodesic
Automorphisms of nil-triangular subrings of chevalley algebras of type $G_2$ over the field of characteristic~$2$
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 88 (2024), pp. 26-36

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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, ring, hypercentral automorphism.
Mots-clés : nil-triangular subalgebra, automorphism 
@article{VTGU_2024_88_a2,
     author = {A. V. Kazakova},
     title = {Automorphisms of nil-triangular subrings of chevalley algebras of type $G_2$ over the field of characteristic~$2$},
     journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
     pages = {26--36},
     publisher = {mathdoc},
     number = {88},
     year = {2024},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VTGU_2024_88_a2/}
}
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A. V. Kazakova. Automorphisms of nil-triangular subrings of chevalley algebras of type $G_2$ over the field of characteristic~$2$. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 88 (2024), pp. 26-36. http://geodesic.mathdoc.fr/item/VTGU_2024_88_a2/