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

2001/12/12 by A. Sciarrino, Sciarrino, A.
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/0112120

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

openalex publication_date 2001/12/12 · arxiv created 2001/12/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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