Deforming maps between sl(n), sp(2n) and Uq(sl(n)), Uq(sp(2n))
Abstract
Using crystal basis, in the space of symmetric irreducible representations, we explicitly write invertible deforming functionals between the q-deformed universal enveloping algebra and the Lie algebras sl(n) and sp(2n).For sl(2) we obtain the Curtright-Zachos map.
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