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

A. Sciarrino
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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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A. Sciarrino. 2001-12-17. Deforming maps between sl(n), sp(2n) and $U_q(sl(n))$, $U_q(sp(2n))$. https://arxiv.org/abs/math/0112120

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