Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit
This paper starts with a new proof that highest weight vectors for semi-simple Lie group representations can be characterised by quadratic equations, and finds the automorphism group of this quadratic variety. The idea is illustrated by various geometrical examples. Various generalisations to Cliffo...
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| Format: | Journal article |
| Language: | English |
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2000
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| _version_ | 1797063478097215488 |
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| author | Hannabuss, K |
| author_facet | Hannabuss, K |
| author_sort | Hannabuss, K |
| collection | OXFORD |
| description | This paper starts with a new proof that highest weight vectors for semi-simple Lie group representations can be characterised by quadratic equations, and finds the automorphism group of this quadratic variety. The idea is illustrated by various geometrical examples. Various generalisations to Clifford algebras and quantum groups are explored, as well as the relationship between geometry, second quantisation, and the classical limit. © 2000 Elsevier Science B.V. |
| first_indexed | 2024-03-06T21:00:26Z |
| format | Journal article |
| id | oxford-uuid:3ab3b93e-3caa-49e8-a325-3cb552359a30 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T21:00:26Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:3ab3b93e-3caa-49e8-a325-3cb552359a302022-03-26T14:03:08ZHighest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limitJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:3ab3b93e-3caa-49e8-a325-3cb552359a30EnglishSymplectic Elements at Oxford2000Hannabuss, KThis paper starts with a new proof that highest weight vectors for semi-simple Lie group representations can be characterised by quadratic equations, and finds the automorphism group of this quadratic variety. The idea is illustrated by various geometrical examples. Various generalisations to Clifford algebras and quantum groups are explored, as well as the relationship between geometry, second quantisation, and the classical limit. © 2000 Elsevier Science B.V. |
| spellingShingle | Hannabuss, K Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit |
| title | Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit |
| title_full | Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit |
| title_fullStr | Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit |
| title_full_unstemmed | Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit |
| title_short | Highest weights, projective geometry, and the classical limit: I. Geometrical aspects and the classical limit |
| title_sort | highest weights projective geometry and the classical limit i geometrical aspects and the classical limit |
| work_keys_str_mv | AT hannabussk highestweightsprojectivegeometryandtheclassicallimitigeometricalaspectsandtheclassicallimit |