The master analytic function and the Lorentz group. III. Coupling of continuous representations of O(2,1)

DOI10.1063/1.524100zbMath0415.22007OpenAlexW1969784213MaRDI QIDQ3050645

Debabrata Basu, S. Datta Majumdar

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524100

zbMATH Keywords

Burchnall-Chaundy formulaClebsch-Gordan coefficientsLorentz groupprincipal seriescontinuous representationsSommerfeld-Watson transformationSturm-Liouville theory of differential equations

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Structure and representation of the Lorentz group (22E43)

Related Items (3)

The Gel’fand realization and the exceptional representations of SL(2,R) ⋮ The Gel’fand realization and the generating function of the Clebsch–Gordan coefficients of SL(2,R) in the hyperbolic basis ⋮ The Clebsch–Gordan coefficients of the three-dimensional Lorentz algebra in the parabolic basis

Cites Work

• A general study of the Wigner coefficients of \(\mathrm{SU}(1,1)\)
• Irreducible unitary representations of the Lorentz group
• On the Kronecker Products of Irreducible Representations of the 2 × 2 Real Unimodular Group. I
• The Clebsch-Gordan problem and coefficients for the three-dimensional Lorentz group in a continuous basis. IV
• Some new identities of the Clebsch–Gordan coefficients and representation functions of SO(2,1) and SO(4)
• The master analytic function and the Lorentz group. I. Reduction of the representations of O(3,1) in O(2,1) basis
• The master analytic function and the Lorentz group. II. The Clebsch–Gordan problem for O(2,1)
• Note on the representation spaces of O(2,1)
• On non-compact groups. II. Representations of the 2+1 Lorentz group
• On the wigner coefficients of the three-dimensional Lorentz group

This page was built for publication: The master analytic function and the Lorentz group. III. Coupling of continuous representations of O(2,1)