A unified treatment of Wigner 𝒟 functions, spin-weighted spherical harmonics, and monopole harmonics

DOI10.1063/1.527183zbMath0605.33006OpenAlexW2080470045MaRDI QIDQ3743612

Tevian Dray

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527183

zbMATH Keywords

spin-weighted spherical harmonicsmonopole harmonicsWigner \({\mathcal D}\) functions

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) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Spherical harmonics (33C55)

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Cites Work

• The relationship between monopole harmonics and spin-weighted spherical harmonics
• Complex line bundles in relativity
• Edth-a differential operator on the sphere
• Spin-s Spherical Harmonics and ð