Decomposition of the SO*(8) enveloping algebra under U(4)⊇U(3)

DOI10.1063/1.527523zbMath0631.22017OpenAlexW2020434355MaRDI QIDQ3767531

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Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527523

zbMATH Keywords

enveloping algebratensor operators\(SO^ *(8)\)

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) 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)

Cites Work

• A simplified SO(6,2) model of SU(3)
• On the structure of tensor operators in \(\mathrm{SU}(3)\)
• Canonical orthonormal basis for SU(3)⊃SO(3). I. Construction of the basis
• Canonical orthonormal basis for Su(3) contains/implies SO(3). III. complete set of SU(3) tensor operators
• Models for SU(3) in terms of so(n,2) and so*(2n) algebras
• Wigner and Racah coefficients for SU3

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