Locally operating realizations of transformation Lie groups

DOI10.1063/1.526974zbMath0575.22019OpenAlexW1970047039WikidataQ115332194 ScholiaQ115332194MaRDI QIDQ3695506

Mariano Santander, José F. Cariñena, Mariano A. del Olmo

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526974

zbMATH Keywords

induced representationsGalilei groupMackey theorylocally operating multiplier realizationsone- dimensional Newton-Hooke grouptwo-dimensional Euclidean group

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of Lie groups to the sciences; explicit representations (22E70) Foundations, quantum information and its processing, quantum axioms, and philosophy (81P99)

Related Items

The Stratonovich–Weyl correspondence for one-dimensional kinematical groups ⋮ Bundle realizations and invariant connections in an Abelian principal bundle ⋮ Local realizations of kinematical groups with a constant electromagnetic field. I. The relativistic case ⋮ Moyal quantization of 2+1-dimensional Galilean systems ⋮ Locally operating realizations of nonconnected transformation Lie groups ⋮ Nonrelativistic conformal groups. II. Further developments and physical applications ⋮ Fourier analysis on the affine group, quantization and noncompact Connes geometries ⋮ Local realizations of kinematical groups with a constant electromagnetic field. II. The nonrelativistic case ⋮ A study of the action from kinematical integral geometry point of view

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