Reduction of inner-product representations of unitary groups

DOI10.1063/1.525698zbMath0576.20007OpenAlexW2087789457WikidataQ30052874 ScholiaQ30052874MaRDI QIDQ3697222

C. R. Sarma, K. V. Dinesha, R. S. Nikam

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525698

zbMATH Keywords

reductionunitary grouppermutation groupmatrix elementsClebsch-Gordan coefficientstensor product of irreducible representationssymmetrization coefficients

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Semisimple Lie groups and their representations (22E46) Applications of group representations to physics and other areas of science (20C35)

Cites Work

• Wigner coefficients for SU(6) ⊇ SU(3) ⊗ SU(2)
• Clebsch-Gordan coefficients for the permutation group
• Permutation group and interacting subsystems of particles
• Non-canonical subgroup restrictions of the unitary group U(nm)↓U(n)⊗(m)
• Determination of basis for the irreducible representations of the unitary group for U( p+q)↓U( p)⊗U( q)
• The Octet Model and its Clebsch-Gordan Coefficients
• An Explicit Basis for the Reduction U(n + m) ↓ U(n) × U(m)

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