An observation on Leonard system parameters for the Terwilliger algebra of the Johnson scheme \(J(N, D)\)

DOI10.1007/s00373-016-1744-5zbMath1372.05234OpenAlexW2557606765WikidataQ112879333 ScholiaQ112879333MaRDI QIDQ2361083

Xiaoye Liang, Tatsuro Ito, Ying-Ying Tan

Publication date: 29 June 2017

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-016-1744-5

zbMATH Keywords

Terwilliger algebraJohnson schemeLeonard system

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Group actions on combinatorial structures (05E18)

Related Items

The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and \(U_q(\mathrm{sl}_2)\), Entanglement of free fermions on Johnson graphs, The Clebsch-Gordan coefficients of \(U(\mathfrak{sl}_2)\) and the Terwilliger algebras of Johnson 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

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
• The Terwilliger algebra of the Johnson schemes
• More on the Terwilliger algebra of Johnson schemes
• Two linear transformations each tridiagonal with respect to an eigenbasis of the other
• Unnamed Item