Deforming maps between sl(n), sp(2n) and $U_q(sl(n))$, $U_q(sp(2n))$

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.

8 pages, no figure typos corrected, missing factors and one equation added