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Leonard Pairs and Leonard Triples of q-Racah Type from the Quantum Algebra U q (sl 2)
Authors:Bo Hou
Affiliation:College of Mathematics and Information Science , Hebei Normal University , Shijiazhuang , P. R. China
Abstract:In this article, we describe the construction of Leonard pairs and Leonard triples that have q-Racah type from U q (sl 2)-modules by using equitable generators of U q (sl 2). Our result solves an open problem proposed by Terwilliger.
Keywords:Equitable generator  Leonard pair  Leonard triple  Quantum algebra
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