Representation properties, Racah sum rule, and Biedenharn{endash}Elliott identity for U{sub q}{bold (}osp{bold (}1{vert_bar}2{bold ))}
- Centre de Physique Theorique et Modelisation, Universite Bordeaux I (France)
It is shown that the universal R matrix in the tensor product of two irreducible representation spaces of the quantum superalgebra U{sub q}{bold (}osp(1{vert_bar}2){bold )} can be expressed by Clebsch{endash}Gordan coefficients. The Racah sum rule satisfied by U{sub q}{bold (}osp(1{vert_bar}2){bold )} Racah coefficients and 6{minus}j symbols is derived from the properties of the universal R matrix in the tensor product of three representation spaces. Considering the tensor product of four irreducible representations, it is shown that Biedenharn{endash}Elliott identity holds for U{sub q}{bold (}osp(1{vert_bar}2){bold )} Racah coefficients and 6{minus}j symbols. A recursion relation for U{sub q}{bold (}osp(1{vert_bar}2){bold )} 6{minus}j symbols is derived from the Biedenharn{endash}Elliott identity. {copyright} {ital 1998 American Institute of Physics.}
- OSTI ID:
- 565719
- Journal Information:
- Journal of Mathematical Physics, Vol. 39, Issue 1; Other Information: PBD: Jan 1998
- Country of Publication:
- United States
- Language:
- English
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