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

被引：0
|
作者：
Gorbatsevich, V. V.
机构：
来源：
IZVESTIYA MATHEMATICS | 2022年 / 86卷 / 02期
关键词：
dual numbers; Lie theory; Lie theorems; approximate symmetries of differential equations; Hjelmslev's natural geometry; CONSTRUCTION;
D O I：
10.1070/IM9115
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：252 / 274
页数：23
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