Journal ArticleDOI
Symmetry properties of s-classified SU(3) 3j-, 6j- and 9j-symbols
Z Pluhar,L J Weigert,P Holan +2 more
TLDR
In this article, the s-classified SU(3) 3j-, 6j- and 9j-symbols are constructed and examined and satisfy simple symmetry relations similar to those valid for the SU(2) case.Abstract:
Starting from the s-classified SU(3) Clebsch-Gordan coefficients introduced previously (Pluhar et al. 1985) the s-classified SU(3) 3j-, 6j- and 9j-symbols are constructed and examined. They satisfy simple symmetry relations similar to those valid for the SU(2) case.read more
Citations
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Journal ArticleDOI
Fuzzy spacetime with SU(3) isometry in the IIB matrix model
TL;DR: In this paper, a group of fuzzy spacetime with SU(3) isometry is studied at the two-loop level in a IIB matrix model, which consists of spacetime from four to six dimensions, namely, from CP{sup 2} to SU( 3)/U( 1)xU(1).
Journal ArticleDOI
Towards the fundamental spectrum of the quantum Yang-Mills theory
Klaus Liegener,Thomas Thiemann +1 more
TL;DR: In this article, the quantum Yang-Mills sector quantized by the methods of loop quantum gravity was considered and the improved UV behavior of the coupled system as compared to pure quantum YangMills theory on a fixed, classical background spacetime as was considered by Kogut and Susskind.
Journal ArticleDOI
Calculation of primitive 6-j symbols
B G Searle,P H Butler +1 more
TL;DR: In this article, an improved algorithm for calculating the primitive 6-j symbols for a compact group with a faithful irrep by recursive building up using only the Kronecker product rules and the general properties of 6 -j was presented.
Journal ArticleDOI
Symmetry properties of matrix elements of canonical SU(3) tensor operators
TL;DR: In this article, the symmetries of the SU(3) 3−j symbols, defined as symmetrized matrix elements of the canonical SU (3) tensor operators, are investigated.
Journal ArticleDOI
Towards the canonical tensor operators of uq(3). I. The maximal null space case
TL;DR: In this paper, the Wigner-Clebsch-Gordan coefficients of uq(3) with repeating irreducible representations are considered and the transposition and conjugation phase factors for the SU(3 and uq3) canonical tensor operators are correlated with phases and zeros of boundary isofactors.
References
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Journal ArticleDOI
Wigner and Racah coefficients for SU3
Jerry P. Draayer,Yoshimi Akiyama +1 more
TL;DR: In this article, a general algorithm for calculating SU3⊃SU2×U1 Wigner coefficients is proposed. But the resolution of the outer multiplicity follows the prescription given by Biedenharn and Louck.
Journal ArticleDOI
Coupling Coefficients and Tensor Operators for Chains of Groups
TL;DR: In this paper, the action of an arbitrary (but finite or compact) group on an arbitrary Hilbert space is studied and the application of group theory to physical calculations is often based on the Wigner-Eckart theorem and one of the aims is to lead up to a general proof of this theorem.
Journal ArticleDOI
Racah Algebra for an Arbitrary Group
Jean‐Robert Derome,W. T. Sharp +1 more
TL;DR: In this article, the 3j and 6j-symbols obtained have essentially the same properties as the familiar 3j-and 6j−Symbols for the rotation group in three dimensions.
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