Cocycles of loop groups (Q2702427)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cocycles of loop groups |
scientific article |
Statements
24 October 2001
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semisimple Lie group
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loop group
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energy representation
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central extension of loop groups
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Cocycles of loop groups (English)
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Let \(G\) be a compact semisimple Lie group and \(LG=\{\gamma: S^1\to G|_\gamma\) is smooth\} be its loop group. The author presents a geometric construction of a cocycle used in the reduction process of the energy representation of \(LG\). Then he presents two applications related to the obtaining of all components of the energy representation and the Murray construction of the central extension of loop groups.NEWLINENEWLINEFor the entire collection see [Zbl 0953.00049].
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0.7643449306488037
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0.7626792192459106
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