On Maximal Extensions of Nilpotent Lie Algebras

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2023-04-13 DOI:10.1134/S0016266322040037

V. V. Gorbatsevich

引用次数: 0

Abstract

Extensions of finite-dimensional nilpotent Lie algebras, in particular, solvable extensions, are considered. Some properties of maximal extensions are proved. A counterexample to L. Šnobl’s conjecture concerning the uniqueness of maximal solvable extensions is constructed.

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幂零李代数的极大扩展

研究有限维幂零李代数的扩展，特别是可解扩展。证明了极大扩展的一些性质。构造了L. Šnobl关于最大可解扩展唯一性猜想的一个反例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.