A general study of the Wigner coefficients of \(\mathrm{SU}(1,1)\)

DOI10.1016/0003-4916(68)90287-XzbMath0162.58404MaRDI QIDQ2528907

Wayne J. III Holman, L. C. Biedenharn

Publication date: 1968

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

zbMATH Keywords

Wigner coefficients\(\mathrm{SU}(1,1)\)

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Applications of hypergeometric functions (33C90)

Related Items

SU(1,1), its connections with SU(2), and the vector model ⋮ On the Wigner and the Racah coefficients of suq(2) and suq(1,1) ⋮ o(4,2)×o(4,2) group theoretical expression of the interelectronic Coulomb potential ⋮ The Lie theory of certain modular form and arithmetic identities ⋮ The Clebsch–Gordan problem of the SL(2,R) coherent states ⋮ Equivalence of a class of Wigner coefficients of S U (1,1) with those of S U (2) ⋮ Representations of the universal covering group of SU(1,1) and their bilinear and trilinear invariant forms ⋮ The master analytic function and the Lorentz group. II. The Clebsch–Gordan problem for O(2,1) ⋮ SU(1,1), its connections with SU(2), and the vector model ⋮ Clebsch-Gordan coefficients for the Poincaré group ⋮ The master analytic function and the Lorentz group. III. Coupling of continuous representations of O(2,1) ⋮ On the definition and properties of generalized 3-j symbols ⋮ Three-point functions and operator product expansion in the SL(2) conformal field theory ⋮ The Clebsch–Gordan coefficients of the three-dimensional Lorentz algebra in the parabolic basis ⋮ The Clebsch-Gordan coefficients for the covering of the (2+1)-Lorentz group in the parabolic basis ⋮ The representation matrix elements of the group O+(2,2) ⋮ Symmetries of extended 3j coefficients

Cites Work

• Unnamed Item
• On complex angular momentum in many-channel potential-scattering problems. II
• A duality theorem for the real unimodular group of second order
• Complex angular momenta and the groups \(\mathrm{SU}(1,1)\) and \(\mathrm{SU}(2)\)
• Irreducible unitary representations of the Lorentz group
• On the Kronecker Products of Irreducible Representations of the 2 × 2 Real Unimodular Group. I
• A general treatment of the complex-angular-momentumSU 2 representations