On the projected bases for Sp(4)⊇U(2) and the orthogonalization problem

DOI10.1063/1.530775zbMath0795.22011OpenAlexW2076463251MaRDI QIDQ4296092

Waldemar Berej, S. I. Ališauskas

Publication date: 23 August 1994

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

Full work available at URL: https://doi.org/10.1063/1.530775

zbMATH Keywords

statesirreducible representationsmultiplicitiesbiorthogonal basesorthogonalization coefficientsRegge-type symmetry

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)

Cites Work

• New relations and identities for generalized hypergeometric coefficients
• Explicit orthonormal Clebsch–Gordan coefficients of SU(3)
• A new physical basis for the irreducible representations of the orthogonal group SO(5) in the quasi-spin formalism
• Coupling coefficients of SU_n⊃SO_nfor O_n-scalar microscopic theory of collective states
• On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form
• On biorthogonal and orthonormal Clebsch–Gordan coefficients of SU(3): Analytical and algebraic approaches
• Orthogonalization coefficients for the Elliott–Draayer states of the two parametric irreps of SU(n)⊇SO(n)
• Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3)
• Explicit orthogonalization of some biorthogonal bases for SU(n)⊇SO(n) and Sp(4)⊇U(2)
• Substitution Group and the Stretched Isoscalar Factors for the Group R5
• Erratum: Weight Lowering Operators and the Multiplicity-Free Isoscalar Factors for the Group R5

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