QUANTUM SUq(2) ALGEBRA: “CARTESIAN” VERSION AND OVERLAPS

DOI10.1142/S0217732392001269zbMath1020.17514MaRDI QIDQ2727372

Alexei Zhedanov

Publication date: 31 July 2001

Published in: Modern Physics Letters A (Search for Journal in Brave)

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)

Related Items

Introduction to Leonard pairs. ⋮ The \(q\)-deformed Cartesian \(\text{osp}(1/2)\) algebra ⋮ An integrable structure related with tridiagonal algebras ⋮ Deformed Dolan-Grady relations in quantum integrable models ⋮ A new (in)finite-dimensional algebra for quantum integrable models ⋮ Leonard pairs from 24 points of view. ⋮ LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS ⋮ Two linear transformations each tridiagonal with respect to an eigenbasis of the other ⋮ The quantum algebra \(U_q(\mathfrak{sl}_2)\) and its equitable presentation ⋮ TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS ⋮ The \(q\)-Higgs and Askey-Wilson algebras ⋮ Higher rank classical analogs of the Askey-Wilson algebra from the sl_N Onsager algebra ⋮ FRT presentation of classical Askey-Wilson algebras