A linear map acts as a Leonard pair with each of the generators of \(U(s l_2)\)

DOI10.1155/2020/3593296zbMath1487.17023OpenAlexW3081091957MaRDI QIDQ2223403

Hasan Alnajjar

Publication date: 28 January 2021

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/3593296

zbMATH Keywords

Leonard pairKrawtchouk type

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Universal enveloping (super)algebras (17B35) Structure theory for Lie algebras and superalgebras (17B05) Matrix Lie algebras (15B30)

Related Items (1)

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Cites Work

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• Leonard pairs and quantum algebra \(U_q(sl_{2})\)
• The equitable basis for \({\mathfrak{sl}_2}\)
• The subconstituent algebra of an association scheme. III
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• Modular Leonard triples
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• Leonard pairs from the equitable basis of sl2
• Leonard pairs associated with the equitable generators of the quantum algebraU_q(sl₂)
• Affine transformations of a Leonard pair
• Orthogonal Polynomials, Duality and Association Schemes
• LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS
• Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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