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

Mathematics – Quantum Algebra

Scientific paper

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

Scientific paper

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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