Highest weights, projective geometry, and the classical limit II. Coherent states and integrable systems
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 provid...
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| Format: | Journal article |
| Language: | English |
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2000
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| _version_ | 1797104880886743040 |
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| author | Hannabuss, K |
| author_facet | Hannabuss, K |
| author_sort | Hannabuss, K |
| collection | OXFORD |
| description | 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. © 2000 Elsevier Science B.V. |
| first_indexed | 2024-03-07T06:39:44Z |
| format | Journal article |
| id | oxford-uuid:f8d7c632-ceee-4dcf-98bd-7476032b9850 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T06:39:44Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:f8d7c632-ceee-4dcf-98bd-7476032b98502022-03-27T12:53:37ZHighest weights, projective geometry, and the classical limit II. Coherent states and integrable systemsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:f8d7c632-ceee-4dcf-98bd-7476032b9850EnglishSymplectic Elements at Oxford2000Hannabuss, KCoherent 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. © 2000 Elsevier Science B.V. |
| spellingShingle | Hannabuss, K Highest weights, projective geometry, and the classical limit II. Coherent states and integrable systems |
| title | Highest weights, projective geometry, and the classical limit II. Coherent states and integrable systems |
| title_full | Highest weights, projective geometry, and the classical limit II. Coherent states and integrable systems |
| title_fullStr | Highest weights, projective geometry, and the classical limit II. Coherent states and integrable systems |
| title_full_unstemmed | Highest weights, projective geometry, and the classical limit II. Coherent states and integrable systems |
| title_short | Highest weights, projective geometry, and the classical limit II. Coherent states and integrable systems |
| title_sort | highest weights projective geometry and the classical limit ii coherent states and integrable systems |
| work_keys_str_mv | AT hannabussk highestweightsprojectivegeometryandtheclassicallimitiicoherentstatesandintegrablesystems |