期刊论文详细信息
Symmetry Integrability and Geometry-Methods and Applications | |
Solvable Lie Algebras of Vector Fields and a Lie's Conjecture | |
article | |
Katarzyna Grabowska1  Janusz Grabowski2  | |
[1] Faculty of Physics, University of Warsaw;Institute of Mathematics, Polish Academy of Sciences | |
关键词: vector field; nilpotent Lie algebra; solvable Lie algebra; dilation; foliation; | |
DOI : 10.3842/SIGMA.2020.065 | |
来源: National Academy of Science of Ukraine | |
【 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.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO202106300000661ZK.pdf | 366KB | download |