The universal Askey-Wilson algebra and the equitable presentation of \(U_{q}(sl_{2})\)
From MaRDI portal
Publication:431382
DOI10.3842/SIGMA.2011.099zbMath1244.33016arXiv1107.3544OpenAlexW1480649785MaRDI QIDQ431382
Publication date: 26 June 2012
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1107.3544
Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)
Related Items (28)
Center of the universal Askey-Wilson algebra at roots of unity ⋮ The space of Dunkl monogenics associated with \(\mathbb{Z}_2^3\) ⋮ Finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules from the equitable point of view ⋮ Little and big \(q\)-Jacobi polynomials and the Askey-Wilson algebra ⋮ Dual polar graphs, the quantum algebra \(U_q(\mathfrak{sl}_{2})\), and Leonard systems of dual \(q\)-Krawtchouk type ⋮ The algebra \(U_q(\mathfrak{sl}_2)\) in disguise ⋮ Some \(q\)-exponential formulas for finite-dimensional \(\square_q\)-modules ⋮ Billiard arrays and finite-dimensional irreducible \(U_q(\mathfrak{sl}_2)\)-modules ⋮ The Lusztig automorphism of Uq(𝔰𝔩2) from the equitable point of view ⋮ The equitable presentation of \(\mathfrak{osp}_q(1|2)\) and a \(q\)-analog of the Bannai-Ito algebra ⋮ Unnamed Item ⋮ Upper triangular matrices and billiard arrays ⋮ An Askey-Wilson algebra of rank 2 ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra at roots of unity ⋮ Evaluation modules for the \(q\)-tetrahedron algebra ⋮ Distance-regular graphs of \(q\)-Racah type and the universal Askey-Wilson algebra ⋮ Lowering-raising triples and \(U_q(\mathfrak{sl}_2)\) ⋮ New realizations of algebras of the Askey–Wilson type in terms of Lie and quantum algebras ⋮ Equitable presentations for multiparameter quantum groups ⋮ Tridiagonal pairs of \(q\)-Racah-type and the \(q\)-tetrahedron algebra ⋮ Double lowering operators on polynomials ⋮ The attenuated space poset \(\mathcal{A}_q(N, M)\) ⋮ Finite-dimensional modules of the universal Askey-Wilson algebra and DAHA of type \((C_1^\vee ,C_1)\) ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra ⋮ The universal enveloping algebra of sl2 and the Racah algebra ⋮ A note on the algebra Uq(sl2) ⋮ Freidel-Maillet type presentations of \(U_q(sl_2)\) ⋮ The Askey–Wilson algebra and its avatars
This page was built for publication: The universal Askey-Wilson algebra and the equitable presentation of \(U_{q}(sl_{2})\)
