Vector-coherent-state representations of so(5) in an so(3) basis

DOI10.1063/1.530459zbMath0811.22008OpenAlexW2047979842MaRDI QIDQ4314284

D. J. Rowe

Publication date: 26 April 1995

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

Full work available at URL: https://doi.org/10.1063/1.530459

zbMATH Keywords

irreducible representationsvector coherent stateso(5) Lie algebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Lie algebras of Lie groups (22E60)

Related Items (7)

Resolution of missing label problems; a new perspective on K-matrix theory ⋮ Induced shift tensors in vector coherent state theory ⋮ Representation of the five- and six-dimensional harmonic oscillators in a u(5)⊇so(5)⊇so(3) basis ⋮ sl(2)-modules by sl(2)-coherent states ⋮ Racah’s method for general subalgebra chains: Coupling coefficients of SO(5) in canonical and physical bases ⋮ A reducible Weil representation of sp(4) realized by differential operators in the space of smooth functions on H2 × S1 ⋮ Noncommutative Pfaffians and classification of states of five-dimensional quasi-spin

Cites Work

• Vector coherent state representation theory
• Vector coherent state theory and its application to the orthogonal groups
• Vector-coherent-state theory as a theory of induced representations
• The gradient formula for the O(5) ⊆O(3) chain of groups
• On the symmetric representations of SU(5). Matrix elements of the generators in the SO(3) basis
• Some simple R5 Wigner coefficients and their application
• Irreducible Representations of the Five-Dimensional Rotation Group. I
• Irreducible Representations of the Five-Dimensional Rotation Group. II

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