The Lie algebra of the group of motions of a phenomenologically symmetric geometry (Q2435940)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Lie algebra of the group of motions of a phenomenologically symmetric geometry |
scientific article |
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The Lie algebra of the group of motions of a phenomenologically symmetric geometry (English)
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21 February 2014
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In the paper under review the author studies some properties of the Lie group \(G({\mathbb R}^n)\) of motions of a phenomenologically symmetric geometry. It is proved that this group of motions is locally transitive on \(\mathbb R^n\) and the Lie algebra of this group of motions cannot be presented as the direct sum of two ideals.
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Lie algebra of the group of motions
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phenomenologically symmetric geometry
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metric function
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local motion
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