Geometric prequantization of the dual of a Lie algebra (Q2845334)
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scientific article; zbMATH DE number 6200748
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Geometric prequantization of the dual of a Lie algebra |
scientific article; zbMATH DE number 6200748 |
Statements
22 August 2013
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geometric prequantization
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Poisson manifold
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Lie group
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Lie algebra
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quantizable manifold
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Geometric prequantization of the dual of a Lie algebra (English)
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Let \(G\) be a Lie group, \(L(G)\) its Lie algebra and \(L(G)^*\) the corresponding dual, endowed with the minus Lie-Poisson bracket \(\{\cdot , \cdot \}\). The main result of this paper gives a prequantization of the Poisson manifold \((L(G)^*, \{\cdot , \cdot \})\).
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