Highest weights, projective geometry, and the classical limit. II: Coherent states and integrable systems (Q1568774)

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).