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Coherent states and quantization on homogeneous spaces. (English) Zbl 0675.22010

Group theoretical methods in physics, Proc. 16th Int. Colloq., Varna/Bulg. 1987, Lect. Notes Phys. 313, 201-207 (1988).
[For the entire collection see Zbl 0666.00006.]
This is a brief review of recent work of the authors on the construction of coherent states for the irreducible representations of the semi-direct product groups \(G=S\cdot V\), where V is a vector space and \(S\subset GL(V)\). Mackey’s theory of induced representations is used.
Reviewer: A.O.Barut

MSC:

22E70 Applications of Lie groups to the sciences; explicit representations
81R30 Coherent states
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations

Citations:

Zbl 0666.00006