Analytical formulas for Racah coefficients and 6-j symbols of the quantum superalgebra U{sub q}(osp(1{vert_bar}2))
- Laboratoire de Physique Theorique, Universite Bordeaux I (France)
Using the method of projection operators, analytical formulas for Racah coefficients and 6-j symbols of the quantum superalgebra U{sub q}(osp(1{vert_bar}2)) are derived. The formulas obtained by this method are transformed by means of algebraic identities into symmetrical analytical formulas, the form of which are very similar to the classical formulas obtained by Racah and Regge for su(2) Racah coefficients and 6-j symbols. Symmetry properties of U{sub q}(osp(1{vert_bar}2)) Racah coefficients and 6-j symbols following from these analytical formulas are studied. In particular, it is shown that, similarly to the su(2) classical case, in addition to the usual tetrahedral symmetry, 6-j symbols of the quantum superalgebra U{sub q}(osp(1{vert_bar}2)) satisfy a Regge type symmetry. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 544542
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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