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

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

K.C. Hannabuss
(
- Oxford U.
)

2000

12 pages

Published in:

J.Geom.Phys. 34 (2000) 29-40

DOI:

10.1016/S0393-0440(99)00003-0

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Abstract: (Elsevier)

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.

81R30
22D30
22E67
58F07
Lie groups and lie algebras
Quantum field theory
Highest weight
Coherent state
Induced representation
Loop group

References(15)

Figures(0)

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