Compatibility and companions for Leonard pairs
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Publication:5869484
zbMath1498.15017arXiv2112.13326MaRDI QIDQ5869484
Nomura, Kazumasa, Paul M. Terwilliger
Publication date: 28 September 2022
Full work available at URL: https://arxiv.org/abs/2112.13326
Association schemes, strongly regular graphs (05E30) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)
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Cites Work
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- Distance-regular graphs
- Bipartite \(Q\)-polynomial distance-regular graphs and uniform posets
- The algebra \(U_q(\mathfrak{sl}_2)\) in disguise
- Krawtchouk polynomials, the Lie algebra \(\mathfrak{sl}_2\), and Leonard pairs
- Leonard triples from Leonard pairs constructed from the standard basis of the Lie algebra
- A bilinear form relating two Leonard systems
- The attenuated space poset \(\mathcal{A}_q(N, M)\)
- Tridiagonal pairs of \(q\)-Racah type
- Balanced Leonard pairs
- The tetrahedron algebra and its finite-dimensional irreducible modules
- An integrable structure related with tridiagonal algebras
- Deformed Dolan-Grady relations in quantum integrable models
- The \(q\)-deformed analogue of the Onsager algebra: beyond the Bethe ansatz approach
- Some formulas for spin models on distance-regular graphs
- Leonard pairs from 24 points of view.
- Leonard pairs and the \(q\)-Racah polynomials
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; comments on the parameter array
- The Terwilliger algebra of a distance-regular graph that supports a spin model
- Introduction to Leonard pairs.
- Irreducible modules for the quantum affine algebra \(U_{q}(\mathfrak {\widehat{sl}_2})\) and its Borel subalgebra
- Dual polar graphs, the quantum algebra \(U_q(\mathfrak{sl}_{2})\), and Leonard systems of dual \(q\)-Krawtchouk type
- Leonard pairs, spin models, and distance-regular graphs
- Notes on the Leonard system classification
- Tridiagonal pairs and the quantum affine algebra \(U_q(\widehat{\text{sl}}_2)\).
- Spin Leonard pairs
- The universal DAHA of type \((C_1^\vee, C_1)\) and Leonard pairs of \(q\)-Racah type
- \(Q\)-polynomial distance-regular graphs and a double affine Hecke algebra of rank one
- The half-infinite XXZ chain in Onsager's approach
- Tridiagonal pairs of \(q\)-Racah type, the double lowering operator \({\psi}\), and the quantum algebra \(U_q(\mathfrak{sl}_2)\)
- Evaluation modules for the \(q\)-tetrahedron algebra
- Three mutually adjacent Leonard pairs
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other; the TD-D canonical form and the LB-UB canonical form
- The Rahman polynomials and the Lie algebra $\mathfrak{sl}_{3}(\mathbb{C})$
- Affine transformations of a Leonard pair
- Hypergeometric Orthogonal Polynomials and Their q-Analogues
- Orthogonal Polynomials, Duality and Association Schemes
- A family of tridiagonal pairs related to the quantum affine algebra U_q(sl_2)
- A deformed analogue of Onsager’s symmetry in the XXZ open spin chain
- Exact spectrum of the XXZ open spin chain from theq-Onsager algebra representation theory
- Finite-Dimensional Irreducible Modules for the Three-Point 2 Loop Algebra
- A family of tridiagonal pairs and related symmetric functions
- The universal DAHA of type (C1∨,C1) and Leonard triples
- Dual polar graphs, a nil-DAHA of rank one, and non-symmetric dual \(q\)-Krawtchouk polynomials
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other
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