The Askey–Wilson algebra and its avatars

DOI10.1088/1751-8121/abd783OpenAlexW3117865898WikidataQ115213600 ScholiaQ115213600MaRDI QIDQ5876400

Luc Vinet, Julien Gaboriaud, Luc Frappat, Nicolas Crampé, Eric Ragoucy, Loïc Poulain d'Andecy

Publication date: 1 February 2023

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

Full work available at URL: https://arxiv.org/abs/2009.14815

zbMATH Keywords

universal \(R\)-matrixdouble affine Hecke algebraKauffman bracket skein algebraAskey-Wilson algebra\(U_q(\mathfrak{sl}_2)\) algebra\(W(D_4)\) Weyl grouphalf Dehn twist

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items

Time and band limiting operator and Bethe ansatz ⋮ Racah algebras, the centralizer \(Z_n(\mathfrak{sl}_2)\) and its Hilbert-Poincaré series ⋮ Chern-Simons theory, link invariants and the Askey-Wilson algebra ⋮ The missing label of \(\mathfrak{su}_3\) and its symmetry ⋮ Askey-Wilson braid algebra and centralizer of \(U_q (\mathfrak{sl}_2)\) ⋮ An algebraic treatment of the Pastro polynomials on the real line ⋮ Matrix elements of SO(3) in sl3 representations as bispectral multivariate functions ⋮ Charting the \(q\)-Askey scheme. II. The \(q\)-Zhedanov scheme ⋮ Representations of the rank two Racah algebra and orthogonal multivariate polynomials ⋮ Realisations of Racah algebras using Jacobi operators and convolution identities ⋮ An Askey-Wilson algebra of rank 2

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