Frønsdal, Christian Some ideas about quantization. (English) Zbl 0418.58011 Rep. Math. Phys. 15, 111-145 (1979). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 3 ReviewsCited in 45 Documents MSC: 53D50 Geometric quantization 22D30 Induced representations for locally compact groups 22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations 81P05 General and philosophical questions in quantum theory 81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations Keywords:Weyl quantization; Moyal formulation of quantum mechanics; Heisenberg algebra; canonical realization on phase space; induced representations; Weyl correspondence × Cite Format Result Cite Review PDF Full Text: DOI References: [1] F. Bayen, M. Flato, C. Fronsdal, A. Lichnérowicz, and D. Sternheimer: Deformation Theory and Quantization, I and II.Annals of Physics; F. Bayen, M. Flato, C. Fronsdal, A. Lichnérowicz, and D. Sternheimer: Deformation Theory and Quantization, I and II.Annals of Physics [2] Kostant, B., (Lecture Notes in Mathematics, 170 (1970), Springer-Verlag), 87 · Zbl 0213.00101 [3] Souriau, J.-M., Structure des systèmes dynamiques (1970), Dunod: Dunod Paris · Zbl 0186.58001 [4] Kostant, B., Proceedings of the International Congress of Mathematicians (September 1970), Nice [5] Lichnérowicz, A., Lett. Math. Phys., 2, 133 (1977) · Zbl 0392.58019 [6] Kirillov, A., Eléments de la Théorie des Représentations (1974), Edition Mir: Edition Mir Moscow [7] Moyal, J. E., Proc. Cambr. Phil. Soc., 45, 99 (1949) · Zbl 0031.33601 [8] Barut, A. O.; Fronsdal, C., Proc. Roy. Soc. A, 287, 523 (1965) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.