SO(2n+1) in an SO(2n-3)⊗SU(2)⊗SU(2) basis. II. Detailed study of the symmetric representations of the SO(7) group

DOI10.1088/0305-4470/15/9/018zbMath0502.22011OpenAlexW2012225318MaRDI QIDQ3967720

Guido Vanden Berghe, Patrick Dewilde, H. E. De Meyer

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1088/0305-4470/15/9/018

zbMATH Keywords

reduction of representationsSO(7)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) 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) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (6)

The shift operator technique for SO(7) in an [SU(2)3 basis. I. Theory] ⋮ Multiparticle \(\mathcal{N} = 8\) mechanics with \(F(4)\) superconformal symmetry ⋮ The SO(7) polynomial basis for symmetric representations ⋮ A pair of commuting missing label operators for G⊇[SU(2)n] ⋮ On a class of spinor representations of SO(7) ⋮ The shift operator technique for SO(7) in an [SU(2)3 basis. II. Applications]

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