Leonard triples, the Racah algebra, and some distance-regular graphs of Racah type
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Publication:491133
DOI10.1016/j.laa.2015.07.003zbMath1325.05185OpenAlexW1083751980MaRDI QIDQ491133
Bo Hou, Huan Liu, Suo-gang Gao
Publication date: 24 August 2015
Published in: Linear Algebra and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.003
Association schemes, strongly regular graphs (05E30) Distance in graphs (05C12) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Linear transformations, semilinear transformations (15A04)
Related Items
Unnamed Item ⋮ The Racah algebra as a commutant and Howe duality ⋮ Leonard triples of \(q\)-Racah type and their pseudo intertwiners ⋮ Finite-dimensional modules of the universal Racah algebra and the universal additive DAHA of type \((C_1^\vee,C_1)\)
Cites Work
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- The subconstituent algebra of an association scheme. I
- The subconstituent algebra of an association scheme. III
- The Terwilliger algebra of the hypercube
- Parameters of association schemes that are both P- and Q-polynomial
- Modular Leonard triples
- Leonard triples and hypercubes
- A class of distance-regular graphs that are \(\phi\)-polynomial
- Distance-regular graphs which support a spin model are thin
- The Terwilliger algebras of bipartite \(P\)- and \(Q\)-polynomial schemes
- Problems in algebraic combinatorics
- Mutual integrability, quadratic algebras, and dynamical symmetry
- Tight distance-regular graphs and the subconstituent algebra
- On the multiplicities of the primitive idempotents of a \(Q\)-polynomial distance-regular graph
- Introduction to Leonard pairs.
- Dual polar graphs, the quantum algebra \(U_q(\mathfrak{sl}_{2})\), and Leonard systems of dual \(q\)-Krawtchouk type
- The Terwilliger algebras of Grassmann graphs
- Spin Leonard pairs
- The classification of Leonard triples of Racah type
- The Terwilliger algebras of Johnson graphs
- Distance-regular graphs of \(q\)-Racah type and the universal Askey-Wilson algebra
- TWO RELATIONS THAT GENERALIZE THE Q-SERRE RELATIONS AND THE DOLAN-GRADY RELATIONS
- Affine transformations of a Leonard pair
- Orthogonal Polynomials, Duality and Association Schemes
- Wilson polynomials and the generic superintegrable system on the 2-sphere
- Distance-regular graphs related to the quantum enveloping algebra of \(sl(2)\)
- Two linear transformations each tridiagonal with respect to an eigenbasis of the other