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Tridiagonal pairs of \(q\)-Racah type (Q837039)

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Language	Label	Description	Also known as
English	Tridiagonal pairs of \(q\)-Racah type	scientific article

Statements

scholarly article

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Tridiagonal pairs of \(q\)-Racah type (English)

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Paul M. Terwilliger

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Journal of Algebra

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publication date

10 September 2009

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full work available at URL

https://arxiv.org/abs/0807.0271

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zbMATH Keywords

tridiagonal pair

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Leonard pair

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\(q\)-Racah polynomial

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MaRDI profile type

MaRDI publication profile

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A family of tridiagonal pairs related to the quantum affine algebra U_q(sl_2)

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A Set of Orthogonal Polynomials That Generalize the Racah Coefficients or $6 - j$ Symbols

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Deformed Dolan-Grady relations in quantum integrable models

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An integrable structure related with tridiagonal algebras

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A new (in)finite-dimensional algebra for quantum integrable models

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A deformed analogue of Onsager’s symmetry in the XXZ open spin chain

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The \(q\)-deformed analogue of the Onsager algebra: beyond the Bethe ansatz approach

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A family of tridiagonal pairs and related symmetric functions

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Exact spectrum of the XXZ open spin chain from the<i>q</i>-Onsager algebra representation theory

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Quantum affine algebras

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The structure of quotients of the Onsager algebra by closed ideals *

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Onsager's algebra and superintegrability

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Onsager’s algebra and the Dolan–Grady condition in the non-self-dual case

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Tridiagonal pairs and the \(q\)-tetrahedron algebra

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Mutual integrability, quadratic algebras, and dynamical symmetry

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The \(q\)-version of a theorem of Bochner

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The tetrahedron algebra and its finite-dimensional irreducible modules

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The shape of a tridiagonal pair.

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Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\).

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TWO NON-NILPOTENT LINEAR TRANSFORMATIONS THAT SATISFY THE CUBIC q-SERRE RELATIONS

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The<i>q</i>-Tetrahedron Algebra and Its Finite Dimensional Irreducible Modules

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Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra

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Tridiagonal pairs of Krawtchouk type

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THE AUGMENTED TRIDIAGONAL ALGEBRA

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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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Askey-Wilson polynomials and the quantum \(\text{SU} (2)\) group: Survey and applications

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𝑞-Krawtchouk polynomials as spherical functions on the Hecke algebra of type 𝐵

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Askey–Wilson Polynomials as Zonal Spherical Functions on the ${\operatorname{SU}}(2)$ Quantum Group

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Orthogonal Polynomials, Duality and Association Schemes

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Tridiagonal pairs and the Askey--Wilson relations

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Balanced Leonard pairs

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Some trace formulae involving the split sequences of a Leonard pair

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The determinant of \(AA^{*} - A^{*}A\) for a Leonard pair \(A,A^{*}\)

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Matrix units associated with the split basis of a Leonard pair

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Linear transformations that are tridiagonal with respect to both eigenbases of a Leonard pair

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The switching element for a Leonard pair

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The split decomposition of a tridiagonal pair

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Sharp tridiagonal pairs

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Towards a classification of the tridiagonal pairs

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The structure of a tridiagonal pair

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Tridiagonal pairs and the \(\mu \)-conjecture

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Askey-wilson polynomials as spherical functions on SU q(2)

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Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition

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Multivariable Orthogonal Polynomials and Coupling Coefficients for Discrete Series Representations

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An elementary approach to \(6j\)-symbols (classical, quantum, rational, trigonometric, and elliptic)

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The subconstituent algebra of an association scheme. I

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The subconstituent algebra of an association scheme. III

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Two linear transformations each tridiagonal with respect to an eigenbasis of the other

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TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS

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Introduction to Leonard pairs.

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Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array

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Leonard pairs and the \(q\)-Racah polynomials

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LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS

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Tridiagonal pairs of shape \((1,2,1)\)

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$lquot$Leonard pairs$rquot$ in classical mechanics

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Identifiers

zbMATH Open document ID

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10.1016/j.jalgebra.2009.04.008

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:837039

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