Ali, S. Twareque; de Bièvre, S. 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 Cited in 1 Document 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 Keywords:coherent states; irreducible representations; induced representations Citations:Zbl 0666.00006 PDFBibTeX XML