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Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras

N. Aizawa
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Abstract

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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N. Aizawa. 1997-01-20. Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras. https://doi.org/10.1088/0305-4470%2F30%2F17%2F009

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