A pair of commuting scalars for G(2) ⊇ SU(2)×SU(2)

DOI10.1063/1.526545zbMath0604.22013OpenAlexW2074628389MaRDI QIDQ3741823

J. W. B. Hughes, Joris Van der Jeugt

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1063/1.526545

zbMATH Keywords

missing labelsirreducible representations of G(2)SU(2)\(\times\) SU(2) subalgebra

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) 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) Lie algebras of Lie groups (22E60)

Related Items

Casimir operators of the exceptional group G2 ⋮ The matrix representations of g2. I. Representations in an so(4) basis

Cites Work

• Shift operator approach of the spin-isospin supermultiplet state labelling problem: Eigenvalue determination of the \(\Omega\) and \(\Phi\) labelling operators
• O(3) shift operators: The general analysis
• SU(2)×SU(2) shift operators and representations of SO(5)
• A pair of commuting missing label operators for G⊇[SU(2)n]
• Nonscalar extension of shift operator techniques for SU(3) in an O(3) basis. III. Shift operators of second degree in the tensor components
• Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. I. Theory
• Nonscalar extension of shift operator techniques for SU (3) in an O(3) basis. II. Applications
• Generating functions for polynomial irreducible tensors
• Complete sets of commuting operators and O (3) scalars in the enveloping algebra of SU (3)
• O(5) Polynomial Bases