Structural properties of the canonical U(3) Racah functions and the U(3) : U(2) projective functions

DOI10.1063/1.522481zbMath0319.22016OpenAlexW1982695889MaRDI QIDQ4081506

M. A. Lohe, James D. Louck, L. C. Biedenharn

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522481

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70)

Related Items

Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3), On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form, A new class of symmetric polynomials defined in terms of tableaux, New relations and identities for generalized hypergeometric coefficients, Structural properties of the self-conjugate SU(3) tensor operators, A generalization of the Gauß hypergeometric series, Towards the canonical tensor operators of u q(3). I. The maximal null space case, A closed formula for the product of irreducible representations of SU(3), Towards the canonical tensor operators of uq(3). II. The denominator function problem, Algebraic formulas for some nontrivial Un 6j symbols and Um n⊃Um×Un 3j m symbols, On the denominator function for canonical SU(3) tensor operators

Cites Work

• On the 27-plet unitary symmetry operator
• A pattern calculus for tensor operators in the unitary groups
• Wigner and Racah coefficients for SU3
• Summation relation for U(N) Racah coefficients
• Canonical Definition of Wigner Coefficients in Un
• On the Representations of the Semisimple Lie Groups. V. Some Explicit Wigner Operators for SU3
• Canonical Unit Adjoint Tensor Operators in U(n)
• On the Evaluation of the Multiplicity-Free Wigner Coefficients of U(n)