Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras
q-alg
2009-10-30 v1 Quantum Algebra
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.
Cite
@article{arxiv.q-alg/9701022,
title = {Irreducible decomposition for tensor prodect representations of Jordanian quantum algebras},
author = {N. Aizawa},
journal= {arXiv preprint arXiv:q-alg/9701022},
year = {2009}
}
Comments
LaTeX, 14pages, no figure