S Alisauskas and Yu F Smirnov 1994 J. Phys. A: Math. Gen. 27 5925 doi:10.1088/0305-4470/27/17/025
S Alisauskas and Yu F Smirnov
Show affiliationsThe coupling (Wigner-Clebsch-Gordan) coefficients of the unitary quantum algebras uq(n) are considered. The tensorial properties of the generator powers and their ordered products, used in the explicit projectors and weight lowering procedures, are established. Different expressions for the multiplicity-free isofactors of uq(n) coupling coefficients (those coupling an arbitrary and symmetric representations) are derived. Explicit expression of the arbitrary isofactors in terms of their boundary values are proposed. Proportionality of the semistretched isofactors to the stretched q-recoupling coefficients of uq(n-1) (q-analogues of 9j-symbols) is demonstrated. The stretched isofactors of uq(3) are expressed in terms of Clebsch-Gordan coefficients of uq(2).
Issue 17 (7 September 1994)
S Alisauskas and Yu F Smirnov 1994 J. Phys. A: Math. Gen. 27 5925
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