结构李理论的基础及其一些应用

IF 0.8 3区数学 Q2 MATHEMATICS

Izvestiya Mathematics Pub Date : 2022-01-01 DOI:10.1070/IM9115

V. Gorbatsevich

引用次数: 0

摘要

我们构造了李群和李代数在对偶数代数上定义的经典李论的一个类比。作为应用，我们研究了微分方程的近似对称性，并构造了Hjelmslev自然几何的类似物。

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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Foundations of Lie theory for -structures and some of its applications

We construct an analogue of classical Lie theory in the case of Lie groups and Lie algebras defined over the algebra of dual numbers. As an application, we study approximate symmetries of differential equations and construct analogues of Hjelmslev’s natural geometry.

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来源期刊

Izvestiya Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. This publication covers all fields of mathematics, but special attention is given to: Algebra; Mathematical logic; Number theory; Mathematical analysis; Geometry; Topology; Differential equations.