Circular bidiagonal pairs (Q6046075)

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scientific article; zbMATH DE number 7686027

Language	Label	Description	Also known as
English	Circular bidiagonal pairs	scientific article; zbMATH DE number 7686027

Statements

scholarly article

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Circular bidiagonal pairs (English)

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Paul M. Terwilliger

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Linear Algebra and its Applications

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publication date

15 May 2023

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full work available at URL

https://arxiv.org/abs/2301.00121

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zbMATH Keywords

bidiagonal pair

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Hessenberg pair

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Leonard pair

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tridiagonal pair

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MaRDI profile type

MaRDI publication profile

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

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Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials

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A new current algebra and the reflection equation

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Two commuting operators associated with a tridiagonal pair

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Tridiagonal pairs of \(q\)-Racah type, the double lowering operator \({\psi}\), and the quantum algebra \(U_q(\mathfrak{sl}_2)\)

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Some q-Exponential Formulas Involving the Double Lowering Operator ψ for a Tridiagonal Pair (Research)

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The algebra \(U_q(\mathfrak{sl}_2)\) in disguise

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BIDIAGONAL PAIRS, THE LIE ALGEBRA 𝔰𝔩<sub>2</sub>, AND THE QUANTUM GROUP U<sub>q</sub>(𝔰𝔩<sub>2</sub>)

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Bidiagonal triples

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Bidiagonal triads and the tetrahedron algebra

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Hessenberg pairs of linear transformations

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Thin Hessenberg pairs

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Thin Hessenberg pairs and double Vandermonde matrices

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MODULES OVER QUANTUM LAURENT POLYNOMIALS

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A classification of sharp tridiagonal pairs

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The shape of a tridiagonal pair.

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

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

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Tridiagonal pairs of \(q\)-Racah type

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THE AUGMENTED TRIDIAGONAL ALGEBRA

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Circular Hessenberg pairs

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Orthogonal Polynomials, Duality and Association Schemes

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A refinement of the split decomposition of a tridiagonal pair

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

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Leonard pairs from 24 points of view.

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

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Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form

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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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Two linear transformations each tridiagonal with respect to an eigenbasis of the other: comments on the split decomposition

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Notes on the Leonard system classification

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.LAA.2023.03.019

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Sitelinks

Mathematics(1 entry)

mardi Publication:6046075

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