Reduction of tensor products with definite permutation symmetry: Embeddings of irreducible representations of Lie groups into fundamental representations of SU(M) and branchings

DOI10.1063/1.525315zbMath0501.22021OpenAlexW2087038120WikidataQ115332575 ScholiaQ115332575MaRDI QIDQ3966367

Kyungsik Kang, In Gyu Koh, A. N. Schellekens

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525315

zbMATH Keywords

gauge theoriesreduction of tensor productsindex sum rulespreon dynamicsrepresentations with permutation symmetry

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie groups to the sciences; explicit representations (22E70) Unitary representations of locally compact groups (22D10) Applications of group representations to physics and other areas of science (20C35)

Related Items

SU(m/n) weight systems and superprojection matrices ⋮ General indices of representations and Casimir invariants ⋮ General indices of simple Lie algebras and symmetrized product representations

Cites Work

• Congruence number, a generalization of SU(3) triality
• On the triangle anomaly number of SU(n) representations
• Second and fourth indices of plethysms
• Unitary Groups: Representations and Decompositions
• Embedding of a Simple Lie Group into a Simple Lie Group and Branching Rules