Clebsch–Gordan coefficients for SU(5) unification models

DOI10.1063/1.527655zbMath0617.22020OpenAlexW1988463004MaRDI QIDQ4726485

M. A. Rodriquez, Christiane Rousseau, Jirí Patera, Mariano A. del Olmo

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1063/1.527655

zbMATH Keywords

Clebsch-Gordan coefficientselements of finite orderdominant weightsadjoint representation of SU(5)Verma algorithmVerma inequalities

Mathematics Subject Classification ID

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) Semisimple Lie groups and their representations (22E46) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

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Cites Work

• Clebsch–Gordan coefficients for SU(5)⊇SU(3)×SU(2)×U(1) theories
• Verma bases for representations of classical simple Lie algebras
• Explicit O (5) Wigner coefficients
• General charge conjugation operators in simple Lie groups
• On the Representations of the Semisimple Lie Groups. II
• SU(3) × SU(2) × U(1) content of all SU(5) representations

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