SO(5)q and Contraction
نویسنده
چکیده
Representations of SO(5) q are constructed explicitly on the Chevalley basis for all q, generic and root of unity. Matrix elements of the generators are obtained for all representations depending on three variable indices, the maximal number being 4. A prescription for contraction is given such that a complete Hopf algebra is immediately obtained for the non-semisimple contracted case. For q a root of unity the periodic representations for SO(5) q and the contracted algebra are obtained directly in the " fractional part " formalism which unifies the treatments for the generic and root of unity cases. The q-deformed quadratic Casimir operator is explicitly evaluated for the representations presented.
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