Highest weights, projective geometry, and the classical limit. II: Coherent states and integrable systems
type: Item
instance of: scholarly article
title: Highest weights, projective geometry, and the classical limit. II: Coherent states and integrable systems
zbMATH Open document ID: 1125.22300
DOI: 10.1016/S0393-0440(99)00003-0
published in: Journal of Geometry and Physics
publication date: 2000-06-21T00:00:00Z
review text: 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).
Mathematics Subject Classification ID: 22D30
Mathematics Subject Classification ID: 22E67
Mathematics Subject Classification ID: 81R30
zbMATH DE Number: 1463370
author: Keith C. Hannabuss
MaRDI profile type: Publication
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full work available at URL: s0393-0440(99)00003-0
OpenAlex ID: W1660010762
description: scientific article; zbMATH DE number 1463370