Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras
Abstract
Tensor products of irreducible representations of the Jordanian quantum algebras Uh(sl(2)) and Uh(su(1,1)) are considered. For both the highest weight finite dimensional representations of Uh(sl(2)) and lowest weight infinite dimensional ones of Uh(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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