The unitary irreducible representations of SL(2, R) in all subgroup reductions

DOI10.1063/1.525337zbMath0512.22015OpenAlexW1985816617MaRDI QIDQ4750890

Kurt Bernardo Wolf, Debabrata Basu

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525337

zbMATH Keywords

matrix elementsLorentz groupintegral kernelscanonical transformations in quantum mechanicshigh-energy scattering dynamicsmixed basessubgroup reductions

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) Structure and representation of the Lorentz group (22E43) Applications of linear algebraic groups to the sciences (20G45)

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Cites Work

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• Group Representation in a Continuous Basis: An Example
• Linear Canonical Transformations and Their Unitary Representations
• New forms for the representations of the three-dimensional Lorentz group
• Mixed basis matrix elements for the subgroup reductions of SO(2,1)

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