Analytic SU(3) states in a finite subgroup basis

DOI10.1063/1.525529zbMath0512.22016OpenAlexW2098044661MaRDI QIDQ4750891

P. E. Desmier, R. T. Sharp, Jirí Patera

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525529

zbMATH Keywords

generating functionsfinite subgroupsdecomposition of representationsintegrity basisbraching rules

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Applications of Lie groups to the sciences; explicit representations (22E70) Compact groups (22C05) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (2)

Spectral measures and generating series for nimrep graphs in subfactor theory. II: \(SU(3)\) ⋮ Explicit and spontaneous breaking of \(\operatorname{SU}(3)\) into its finite subgroups

Cites Work

• The global symmetries of spin systems defined on abelian groups. II
• The character generator of SU(n)
• Finite nonabelian subgroups of SU(n) with analytic expressions for the irreducible representations and the Clebsch–Gordan coefficients
• Polynomial irreducible tensors for point groups
• Polynomial tensors for double point groups
• Finite subgroups of SU(3)
• Invariants of finite groups and their applications to combinatorics
• Finite and Disconnected Subgroups of SU3 and their Application to the Elementary-Particle Spectrum
• The Boson Calculus for the Orthogonal and Symplectic Groups

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