A new approach to permutation group representation

DOI10.1063/1.525460zbMath0489.20011OpenAlexW2062372155WikidataQ62029053 ScholiaQ62029053MaRDI QIDQ3950717

Mei-Juan Gao, Jin-Quan Chen

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525460

zbMATH Keywords

irreducible representationsfractional parentageClebsch-Gordan coefficientscomplete set of commuting operatorslabeling problemYamanouchi bases

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representations of finite symmetric groups (20C30) Applications of group representations to physics and other areas of science (20C35)

Related Items (8)

Point-group symmetrized boson representation. Algebraic solution for symmetry-adapted bases of O h ⋮ Multibody operator matrix elements and subduction coefficients in U(n) ⋮ Representations of finite groups ⋮ Multibody operator matrix elements and subduction coefficients in U(n): II ⋮ On the set of topologically invariant means on an algebra of convolution operators on 𝐿^{𝑝}(𝐺) ⋮ Transformation coefficients of permutation groups ⋮ Partial dynamical symmetry in molecules ⋮ A new approach to permutation group representations. II

Cites Work

• Wigner coefficients for SU(6) ⊇ SU(3) ⊗ SU(2)
• Unitary Groups: Representations and Decompositions
• Gelfand States and the Irreducible Representations of the Symmetric Group
• On the Generalized Exchange Operators for SU(n)
• Theoretical studies in nuclear structure IV. Wave functions for the nuclear p -shell Part A. ‹  p ⁿ │ p ^n-1 p  › fractional parentage coefficients

This page was built for publication: A new approach to permutation group representation