Towards the canonical tensor operators of u q(3). I. The maximal null space case
DOI10.1063/1.531737zbMath0863.17009OpenAlexW2102095263MaRDI QIDQ4716486
Publication date: 10 June 1997
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.531737
tensor operators\(SU(3)\) groupdenominator functionsWigner-Clebsch-Gordan coefficientsmaximal null spacecanonical isofactorsorthogonal coupling coefficientsquantum Lie algebra \(u_ q(3)\)symmetry phase factors
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)
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Cites Work
- On the 27-plet unitary symmetry operator
- On q-tensor operators for quantum groups
- A q-analog of hypergeometric series well-poised in SU(n) and invariant G-functions
- Quantum field theory and the Jones polynomial
- Hypergeometric series well-poised in SU(n) and a generalization of Biedenharn's G-functions
- Explicit orthonormal Clebsch–Gordan coefficients of SU(3)
- On the denominator function for canonical SU(3) tensor operators
- Symmetry properties of s-classified SU(3) 3j-, 6j- and 9j-symbols
- On the denominator function for canonical SU(3) tensor operators. II. Explicit polynomial form
- On biorthogonal and orthonormal Clebsch–Gordan coefficients of SU(3): Analytical and algebraic approaches
- On Clebsch–Gordan coefficients and matrix elements of representations of the quantum algebra U q(su2)
- Wigner-Eckart theorem for the quantum group Uq(n)
- Explicit canonical tensor operators and orthonormal coupling coefficients of SU(3)
- The pattern calculus for tensor operators in quantum groups
- Recursive calculation of the R matrices of q-deformed algebras
- Structural properties of the canonical U(3) Racah functions and the U(3) : U(2) projective functions
- On Hypergeometric Series Well-Poised in $SU(n)$
- Wigner and Racah coefficients for SU3
- Clebsch–Gordan coefficients and related identities obtained by an integration over the group space of SUq(2)
- Symmetry properties of matrix elements of canonical SU(3) tensor operators
- Symmetries of Clebsch–Gordan coefficients of the quantum group U q(n)
- Multiplicity-free uq(n) coupling coefficients
- Biorthogonal coupling coefficients of uq(n)
- The Octet Model and its Clebsch-Gordan Coefficients
- Canonical Definition of Wigner Coefficients in Un
- Substitution Group and Mirror Reflection Symmetry in Special Unitary Groups
- 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 structure of the canonical tensor operators in the unitary groups. II. The tensor operators in U(3) characterized by maximal null space
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