Totally symmetric irreducible representations of the group SO(6) in the principal SO(3) subgroup basis

DOI10.1063/1.527742zbMath0636.22016OpenAlexW2068169624MaRDI QIDQ3775734

Guido Vanden Berghe, Jan Vanthournout, Joris Van der Jeugt, H. E. De Meyer

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527742

zbMATH Keywords

generatorsmatrix elementsrotation group manifoldtotally symmetric irreducible representation

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)

Related Items (3)

On the spectrum of a third-order SO(3) scalar in the enveloping algebra of SO(6) ⋮ On the symmetric representations of SU(5). Matrix elements of the generators in the subgroup bases SU(2)×SU(2)×U(1) and SU(2)×SU(2) ⋮ On the symmetric representations of SU(5). Matrix elements of the generators in the SO(3) basis

Cites Work

• Collective motion in the nuclear shell model. I. Classification schemes for states of mixed configurations
• On Lie algebras built from SO(3) tensor operators
• Nonscalar extension of shift operator techniques for SU(3) in an O(3) basis. III. Shift operators of second degree in the tensor components
• On the spectra of SO(3) scalars in the enveloping algebra of SU(3)
• Shift-operator techniques for the classification of multipole-phonon states. II. Eigenvalues of the quadrupole shift operator O0l
• Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory
• Internal labels of degenerate representations
• Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)
• Irreducible Representations of the Five-Dimensional Rotation Group. I
• Irreducible Representations of the Five-Dimensional Rotation Group. II
• Semisimple Subgroups of Semisimple Groups
• Nuclear Constitution and the Interpretation of Fission Phenomena

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