The Terwilliger algebra of the Johnson scheme \(J(N, D)\) revisited from the viewpoint of group representations

DOI10.1016/j.ejc.2018.02.029zbMath1415.05181OpenAlexW2885261727MaRDI QIDQ2311362

Xiaoye Liang, Ying-Ying Tan, Tatsuro Ito, Yi-Zheng Fan

Publication date: 10 July 2019

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2018.02.029

zbMATH Keywords

Terwilliger algebraJohnson scheme

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Association schemes, strongly regular graphs (05E30) Group actions on combinatorial structures (05E18)

Related Items (12)

On the trivial \(T\)-module of a graph ⋮ The Terwilliger algebra of the halved folded \(2n\)-cube from the viewpoint of its automorphism group action ⋮ Tight relative t-designs on two shells in hypercubes, and Hahn and Hermite polynomials ⋮ The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and \(U_q(\mathrm{sl}_2)\) ⋮ On standard bases of irreducible modules of Terwilliger algebras of Doob schemes ⋮ Entanglement of free fermions on Johnson graphs ⋮ The Clebsch-Gordan coefficients of \(U(\mathfrak{sl}_2)\) and the Terwilliger algebras of Johnson graphs ⋮ On bipartite graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin ⋮ Modular Terwilliger algebras of association schemes ⋮ 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 halved \(n\)-cube from the viewpoint of its automorphism group action ⋮ Certain graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin

Cites Work

• The subconstituent algebra of an association scheme. I
• The subconstituent algebra of an association scheme. III
• The subconstituent algebra of an association scheme. II
• An observation on Leonard system parameters for the Terwilliger algebra of the Johnson scheme \(J(N, D)\)
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other
• Unnamed Item
• Unnamed Item

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