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arxiv: hep-th/9402040 · v4 · submitted 1994-02-08 · ✦ hep-th · math.QA

Racah Sum Rule and Biedenharn-Elliott Identity for the Super-Rotation 6-j symbols

classification ✦ hep-th math.QA
keywords super-rotationbiedenharn-elliottidentityracahrulesymbolsalgebracase
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It is shown that the well known Racah sum rule and Biedenharn-Elliott identity satisfied by the recoupling coefficients or by the $6-j$ symbols of the usual rotation $SO(3)$ algebra can be extended to the corresponding features of the super-rotation $osp(1|2)$ superalgebra. The structure of the sum rules is completely similar in both cases, the only difference concerns the signs which are more involved in the super-rotation case.

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