Tensor operators and Wigner-Eckart theorem for the quantum superalgebra Uq[osp(1 2)]
Abstract
Tensor operators in graded representations of Z2-graded Hopf algebras are defined and their elementary properties are derived. Wigner-Eckart theorem for irreducible tensor operators for Uq[osp(1 2)] is proven. Examples of tensor operators in the irreducible representation space of Hopf algebra Uq[osp(1 2)] are considered. The reduced matrix elements for the irreducible tensor operators are calculated. A construction of some elements of the center of Uq[osp(1 2)] is given.
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