The equitable presentation for the quantum group νq(sl2)

DOI10.1063/1.5094946zbMath1422.81133OpenAlexW2973213598MaRDI QIDQ5235508

Junli Liu, Qiuli Xu, Wei Jiang

Publication date: 11 October 2019

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5094946

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Hopf algebras and their applications (16T05)

Related Items (1)

Freidel-Maillet type presentations of \(U_q(sl_2)\)

Cites Work

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• Leonard pairs and quantum algebra \(U_q(sl_{2})\)
• The equitable basis for \({\mathfrak{sl}_2}\)
• The equitable presentation of \(\mathfrak{osp}_q(1|2)\) and a \(q\)-analog of the Bannai-Ito algebra
• The two parameter quantum groups \(U_{r, s} (\mathfrak g)\) associated to generalized Kac-Moody algebra and their equitable presentation
• Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\).
• The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation
• The equitable presentation for the quantum group associated with a symmetrizable Kac-Moody algebra
• Leonard Pairs and Leonard Triples ofq-Racah Type from the Quantum AlgebraU_q(sl₂)
• Leonard pairs associated with the equitable generators of the quantum algebraU_q(sl₂)
• TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS
• Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group

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