Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras

Details Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras

1997-01-20

arxiv.org/abs/q-alg/9701022v1

J. Phys. A:Math. Gen. 30 (1997) 5981-5992

Mathematics

Quantum Algebra

LaTeX, 14pages, no figure

Scientific paper

10.1088/0305-4470/30/17/009

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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