The group structure for jet bundles over Lie groups (Q2856393)
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scientific article; zbMATH DE number 6220467
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The group structure for jet bundles over Lie groups |
scientific article; zbMATH DE number 6220467 |
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28 October 2013
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Lie group
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jet prolongation
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group cocycle
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Leibniz algebra
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math.DG
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0.9032748
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0.89624465
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The group structure for jet bundles over Lie groups (English)
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Let \(G\) be a Lie group. Then the bundle \(J^kG\) of \(k\)-jets of curves in \(G\) has a natural Lie group structure, which can be identified with \(G\times g^k\). The main result of the paper describes an expression for the group multiplication in \(J^kG\) identified with \(G\times g^k\). The author also presents the multiplication in the \(k\)-th order tangent group \(T^kG\).
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