Solvable Lie Algebras of Vector Fields and a Lie's Conjecture

被引：3

作者：

Grabowska, Katarzyna ^{[1
]}

Grabowski, Janusz ^{[2
]}

机构：

[1] Univ Warsaw, Fac Phys, Warsaw, Poland

[2] Polish Acad Sci, Inst Math, Warsaw, Poland

来源：

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2020年 / 16卷

关键词：

vector field; nilpotent Lie algebra; solvable Lie algebra; dilation; foliation; GRADED BUNDLES; HIGHER ANALOGS;

D O I：

10.3842/SIGMA.2020.065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a local and constructive differential geometric description of finite-dimensional solvable and transitive Lie algebras of vector fields. We show that it implies a Lie's conjecture for such Lie algebras. Also infinite-dimensional analytical solvable and transitive Lie algebras of vector fields whose derivative ideal is nilpotent can be adapted to this scheme.

引用

页数：14

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