Confluences of the Painlevé equations, Cherednik algebras and q-Askey scheme

DOI10.1088/0951-7715/29/9/2565zbMath1347.33039arXiv1307.6140OpenAlexW2963671887MaRDI QIDQ2821954

Marta Mazzocco

Publication date: 26 September 2016

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.6140

zbMATH Keywords

Painlevé equationsCherednik algebrasq-Askey schemeZhedanov algebra

Mathematics Subject Classification ID

Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (17)

Finite-dimensional irreducible modules of the universal DAHA of type (C₁^∨,C₁) ⋮ Grassmann graphs, degenerate DAHA, and non-symmetric dual \(q\)-Hahn polynomials ⋮ Charting the \(q\)-Askey scheme. II. The \(q\)-Zhedanov scheme ⋮ The quantum mirror to the quartic del Pezzo surface ⋮ Quantised Painlevé monodromy manifolds, Sklyanin and Calabi-Yau algebras ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra at roots of unity ⋮ Dualities in the q‐Askey Scheme and Degenerate DAHA ⋮ The dual pair (Uq(su(1,1)),oq1/2(2n)), q-oscillators, and Askey-Wilson algebras ⋮ Sklyanin-like algebras for (q-)linear grids and (q-)para-Krawtchouk polynomials ⋮ Noncommutative Painlevé equations and systems of Calogero type ⋮ Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual \(q\)-Krawtchouk polynomials ⋮ Finite-dimensional irreducible modules of the universal Askey-Wilson algebra ⋮ Higher rank classical analogs of the Askey-Wilson algebra from the sl_N Onsager algebra ⋮ FRT presentation of classical Askey-Wilson algebras ⋮ Unfolding of the unramified irregular singular generalized isomonodromic deformation ⋮ The Askey–Wilson algebra and its avatars ⋮ Tridiagonal representations of theq-oscillator algebra and Askey–Wilson polynomials

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