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In this paper, we give an explicit construction of the unitary irreducible representations of the Poincare groups in 2, 3, and 4 space-time dimensions on Hilbert spaces associated with the… Click to show full abstract
In this paper, we give an explicit construction of the unitary irreducible representations of the Poincare groups in 2, 3, and 4 space-time dimensions on Hilbert spaces associated with the Schrodinger representation of the Weyl algebra for n = 1, 2, and 3, respectively. Our method of constructing the representations uses extension and localization of the enveloping algebras associated with these Weyl algebras and the Poincare algebras.
Keywords:
using lie;
construction;
poincar group;
representations poincar;
construction representations;
group using
Journal Title: Journal of Mathematical Physics
Year Published: 2018
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Journal Title: Journal of Mathematical Physics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!