Automorphisms of nil-triangular subrings of Chevalley algebras of type G2 over the field of characteristic 2

被引:0
作者
Kazakova, Alyona V. [1 ]
机构
[1] Siberian Fed Univ, Krasnoyarsk, Russia
来源
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2024年 / 88期
关键词
Chevalley algebra; nil-triangular subalgebra; ring; automorphism; hypercentral automorphism;
D O I
10.17223/19988621/88/3
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Let N Phi(K) be the nil-triangular subalgebra of the Chevalley algebra over an associative commutative ring K with the identity associated with a root system Phi (The basis of NF(K) consists of all elements e(r) is an element of Phi+ of the Chevalley basis). This paper studies the well-known problem of describing automorphisms of Lie algebras and rings N Phi(K). Automorphisms of the Lie algebra N Phi(K) under restrictions K = 2K = 3K on ring K are described by Y. Cao, D. Jiang, J. Wang (Intern. J. Algebra and Computation, 2007). When passing from algebras to Lie rings, the group of automorphisms expands. Thus, the subgroup of central automorphisms is extended, i.e. acting modulo the center, ring automorphisms induced by automorphisms of the main ring are added. For the type An, a description of automorphisms of Lie rings NF(K) over K was obtained by V.M. Levchuk
引用
收藏
页码:26 / 36
页数:11
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