Boost matrix elements of the homogeneous Lorentz group

DOI10.1063/1.524211zbMath0415.22008OpenAlexW1997044491MaRDI QIDQ3050646

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Publication date: 1979

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

Full work available at URL: https://doi.org/10.1063/1.524211

zbMATH Keywords

Clebsch-Gordan coefficientsthree-dimensional rotation grouphomogeneous Lorentz groupboost matrix elements

Mathematics Subject Classification ID

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

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Numerical methods for EPRL spin foam transition amplitudes and Lorentzian recoupling theory ⋮ Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models ⋮ Boosting Wigner’s nj-symbols ⋮ Asymptotics of \(\mathrm{SL}(2,\mathbb{C})\) coherent invariant tensors ⋮ A primer of group theory for loop quantum gravity and spin-foams ⋮ Infrared divergences in the EPRL-FK spin foam model ⋮ A unified treatment of the representation functions of SO(n,1), SO(n+1), and ISO(n)

Cites Work

• Boost matrix elements and Clebsch–Gordan coefficients of the homogeneous Lorentz group
• Decomposition of the Unitary Irreducible Representations of the Group SL(2C) Restricted to the Subgroup SU(1, 1)
• Clebsch-Gordan Coefficients for the Coupling of SL(2, C) Principal-Series Representations
• Recursion and Symmetry Relations for the Clebsch-Gordan Coefficients of the Homogeneous Lorentz Group

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