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Highest weights, projective geometry, and the classical limit II. Coherent states and integrable systems

Abstract:
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.
Publication status:
Published

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
JOURNAL OF GEOMETRY AND PHYSICS More from this journal
Volume:
34
Issue:
1
Pages:
29-40
Publication date:
2000-05-01
DOI:
ISSN:
0393-0440
Language:
English
Keywords:
Pubs id:
pubs:7796
UUID:
uuid:f8d7c632-ceee-4dcf-98bd-7476032b9850
Local pid:
pubs:7796
Source identifiers:
7796
Deposit date:
2012-12-19

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