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arxiv: q-alg/9701022 · v1 · submitted 1997-01-20 · q-alg · math.QA

Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras

classification q-alg math.QA
keywords representationsalgebrasirreducibletensordecompositiondimensionaljordanianquantum
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Tensor products of irreducible representations of the Jordanian quantum algebras U_h(sl(2)) and U_h(su(1,1)) are considered. For both the highest weight finite dimensional representations of U_h(sl(2)) and lowest weight infinite dimensional ones of U_h(su(1,1)), it is shown that tensor product representations are reducible and that the decomposition rules to irreducible representations are exactly the same as those of corresponding Lie algebras.

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