SO(2n+1) in an SO(2n-3)⊗SU(2)⊗SU(2) basis. I. Reduction of the symmetric representations

DOI10.1088/0305-4470/15/9/017zbMath0498.22021OpenAlexW2012497491MaRDI QIDQ3963264

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

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/10.1088/0305-4470/15/9/017

zbMATH Keywords

highest weightsbranching rulenuclear multipole phononssymmetric irreducible unitary representations

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) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Unitary representations of locally compact groups (22D10) Compact groups (22C05)

Related Items (4)

The SO(7) polynomial basis for symmetric representations ⋮ On a class of spinor representations of SO(7) ⋮ The matrix representation of SO7 in an (SU2)3 basis ⋮ The shift operator technique for SO(7) in an [SU(2)3 basis. II. Applications]

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