A rank two Leonard pair in Terwilliger algebras of Doob graphs

Association schemes, strongly regular graphs (05E30) Graph operations (line graphs, products, etc.) (05C76) Combinatorial aspects of commutative algebra (05E40)

Cites Work

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Distance-regular graphs
An action of the tetrahedron algebra on the standard module for the Hamming graphs and Doob graphs
On Lee association schemes over $\mathbb{Z}_4$ and their Terwilliger algebra
The irreducible modules of the Terwilliger algebras of Doob schemes
The subconstituent algebra of an association scheme. I
The subconstituent algebra of an association scheme. III
The subconstituent algebra of an association scheme. II
The Terwilliger algebra of the hypercube
On quantum adjacency algebras of Doob graphs and their irreducible modules
Bispectrality of multivariable Racah-Wilson polynomials
Commutative association schemes
Problems in algebraic combinatorics
Two linear transformations each tridiagonal with respect to an eigenbasis of the other: comments on the split decomposition
The isomorphism problem of trees from the viewpoint of Terwilliger algebras
Linking the special orthogonal algebra $\mathfrak{so}_4$ and the tetrahedron algebra $\boxtimes $
On the Terwilliger algebra of distance-biregular graphs
The Terwilliger algebras of Grassmann graphs
The Terwilliger algebra of the Grassmann scheme $J_q(N,D)$ revisited from the viewpoint of the quantum affine algebra $U_q(\hat{\mathfrak{sl}}_2)$
The Terwilliger algebra of the Johnson scheme $J(N, D)$ revisited from the viewpoint of group representations
The Terwilliger algebras of Johnson graphs
The displacement and split decompositions for a $Q$-polynomial distance-regular graph
The Terwilliger algebra of a Hamming scheme $H(d,q)$
The Rahman polynomials and the Lie algebra $\mathfrak{sl}_{3}(\mathbb{C})$
Bispectral commuting difference operators for multivariable Askey-Wilson polynomials
Hypergeometric Orthogonal Polynomials and Their q-Analogues
Orthogonal Polynomials, Duality and Association Schemes
(𝑛+1,𝑚+1)-hypergeometric functions associated to character algebras
Two linear transformations each tridiagonal with respect to an eigenbasis of the other
On standard bases of irreducible modules of Terwilliger algebras of Doob schemes
Bivariate $P$-polynomial association schemes

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