Construction of canonical coordinates of the orbits of the coadjoint representation of tensor extensions of Lie groups (Q1282546)
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scientific article; zbMATH DE number 1274247
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of canonical coordinates of the orbits of the coadjoint representation of tensor extensions of Lie groups |
scientific article; zbMATH DE number 1274247 |
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Construction of canonical coordinates of the orbits of the coadjoint representation of tensor extensions of Lie groups (English)
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23 May 2000
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Let \(K= {\mathbb R}[x]/x^n\), and let \(T\) be an arbitrary Lie group. The paper explicitly constructs canonical coordinates on the orbits of the coadjoint representation of the Lie group \(T\otimes K\) from canonical coordinates on the coadjoint representation of \(T\). To this end it uses the algorithm described by \textit{V. V. Trofimov} [Izv. Akad. Nauk SSSR, Ser. Mat. 47, 1303-1321 (1983; Zbl 0547.58024)].
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canonical coordinates
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coadjoint representations
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tensor extension
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Trofimov algorithm
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0.8854119181632996
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