Character states and generator matrix elements for Sp(4)⊃SU(2)×U(1)

DOI10.1063/1.531691zbMath0861.22016arXivq-alg/9606026OpenAlexW1537003868MaRDI QIDQ5284258

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Publication date: 22 January 1997

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

Full work available at URL: https://arxiv.org/abs/q-alg/9606026

zbMATH Keywords

generic representationsgenerator matrix elementscharacter statespolynomial states

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (2)

Spin-mass content of the Bhabha particle and the group chain SU(4)⊃Sp(4)⊃SU(2)×U(1) ⋮ A Gelfand-Tsetlin-type basis for the algebra \(\mathfrak{sp}_4\) and hypergeometric functions

Cites Work

• Complete branching rules generating function for SO(7) contains/implies SU(2)³and polynomial basis states
• Generating functions for polynomial irreducible tensors
• Generator matrix elements for G₂contains/implies SU(3): II. Generic representations
• G₂generator matrix elements for degenerate representations in an SU(3) basis
• Some simple R5 Wigner coefficients and their application
• Polynomial states for SU(3) and SO(5) in a Demazure-Tits basis
• Studies in jj -coupling. I. Classification of nuclear and atomic states

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