Quantization and the method of orbits (Q1821407)
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scientific article; zbMATH DE number 3998819
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantization and the method of orbits |
scientific article; zbMATH DE number 3998819 |
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Quantization and the method of orbits (English)
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1987
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A survey is given of the method of orbits which makes it possible to construct irreducible unitary representations of an arbitrary Lie group proceeding from mechanical considerations. After a brief introduction to symplectic geometry, a construction of a representation associated with an orbit of a group in the dual space of its Lie algebra is given. Various generalizations of this construction are discussed.
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irreducible unitary representations
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Lie group
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symplectic geometry
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Lie algebra
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0.9259604
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0.9029662
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0.8756068
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0.8735498
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0.8712772
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0.8705453
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0.8689239
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0.86889446
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