The group of automorphisms of the Lie algebra of derivations of a polynomial algebra

被引：4
|
作者：
Bavula, V. V. [1 ]
机构：
[1] Univ Sheffield, Dept Pure Math, Hicks Bldg, Sheffield S3 7RH, S Yorkshire, England
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2017年 / 16卷 / 05期
基金：
英国工程与自然科学研究理事会;
关键词：
Group of automorphisms; monomorphism; Lie algebra; automorphism; locally nilpotent derivation; ISOMORPHISMS;
D O I：
10.1142/S0219498817500888
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A short proof is given of Rudakov's result (announced in [A. N. Rudakov, Subalgebras and automorphisms of Lie algebras of Cartan type, Funktsional. Anal. i Prilozhen. 20(1) (1986) 83-84]), that the group of automorphisms of the Lie algebra DerK(Pn) of derivations of a polynomial algebra P-n = K[x(1),..., x(n)], over a field of characteristic zero is canonically isomorphic to the group of automorphisms of the polynomial algebra Pn.
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页数：8
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