Classification, selection rules, and symmetry properties of the Clebsch- Gordan coefficients of symmetric group

DOI10.1063/1.3695215zbMath1274.81119OpenAlexW2036507435MaRDI QIDQ2861783

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.1063/1.3695215

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Cites Work

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Programs for generating Clebsch-Gordan coefficients of $SU(3)$ in $SU(2)$ and $SO(3)$ bases
Reduced Kronecker products which are multiplicity free or contain only few components
Program for calculating $SU(4)$ Clebsch-Gordan coefficients
The stability of the Kronecker product of Schur functions
\texttt{CleGo}: A package for automated computation of Clebsch-Gordan coefficients in tensor product representations for Lie algebras $A$-$G$
Algorithms for computing generalized $\text{U}(N)$ Racah coefficients
Coefficients of fractional parentage for U(m + p/n + q) ⊃ U(m/n) × U(p/q) and U(m/n) ⊃ U(m) × U(n)
The Clebsch-Gordan coefficients of permutation groups S(2)-S(6)
Coupling coefficient for the symmetric and unitary groups
Clebsch-Gordan coefficients for the permutation group
The decomposition of the tensor product of representations of the symmetric group
The Clebsch–Gordan coefficients of S n
Irreducible representations of Hecke algebras in the nonstandard basis and subduction coefficients
Subduction coefficients of Brauer algebras and Racah coefficients of O(n) andSp(2m): I. Subduction coefficients
On the symmetry properties of outer product reduction
Analytical expressions for some multiplicity-free isoscalar factors of Sf⊃Sf−1
Irreducible representations of Brauer algebras
Young invariant decomposition of spin-interacting operators
A numerical algorithm for the explicit calculation of SU(N) and $\mbox{SL}(N,\mathbb {C})$SL(N,C) Clebsch–Gordan coefficients
SU(6)⊃SU(3)⊗SU(2) and SU(8)⊃SU(4)⊗SU(2) Clebsch–Gordan coefficients
Symmetry Properties of the 3j-Symbols for an Arbitrary Group
The symmetric group: Characters, products and plethysms
The Characters of the Symmetric Group

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