Highest weights, projective geometry, and the classical limit. II: Coherent states and integrable systems (Q1568774)
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scientific article; zbMATH DE number 1463370
| Language | Label | Description | Also known as |
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| English | Highest weights, projective geometry, and the classical limit. II: Coherent states and integrable systems |
scientific article; zbMATH DE number 1463370 |
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Highest weights, projective geometry, and the classical limit. II: Coherent states and integrable systems (English)
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21 June 2000
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Coherent states of the commutation relations, like highest weight vectors for compact semi-simple Lie groups, satisfy quadratic equations. This paper explores the situation for quadratic varieties of vectors in some other infinite-dimensional representations, the tau functions for loop groups providing one example. Other generalisations are discussed. For the review of Part I, see ibid. 34, No. 1, 1--28 (2000; Zbl 0948.22015).
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