Terwilliger algebras of wreath products of association schemes

DOI10.1016/j.laa.2015.11.030zbMath1329.05313OpenAlexW2212746941MaRDI QIDQ905711

Bangteng Xu, Mikhail E. Muzychuk

Publication date: 28 January 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2015.11.030

zbMATH Keywords

association schemesprimitive central idempotentscoherent configurationsTerwilliger algebrasBose-Mesner algebras

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Association schemes, strongly regular graphs (05E30)

Related Items (10)

On the trivial \(T\)-module of a graph ⋮ On the Terwilliger algebra of distance-biregular graphs ⋮ On standard bases of irreducible modules of Terwilliger algebras of Doob schemes ⋮ On symmetric association schemes and associated quotient-polynomial graphs ⋮ Combinatorial extensions of Terwilliger algebras and wreath products of association schemes ⋮ Varietal Terwilliger algebras arising from wreath products of rank two association schemes ⋮ The quantum adjacency algebra and subconstituent algebra of a graph ⋮ Pseudo-direct sums and wreath products of loose-coherent algebras with applications to coherent configurations ⋮ On bipartite graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin ⋮ Certain graphs with exactly one irreducible \(T\)-module with endpoint 1, which is thin

Cites Work

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• New upper bounds for nonbinary codes based on the Terwilliger algebra and semidefinite programming
• Terwilliger algebras of wreath products of one-class association schemes
• Permutation group approach to association schemes
• Coherent algebras
• Terwilliger algebras of wreath products by quasi-thin schemes
• THE TERWILLIGER ALGEBRAS OF GROUP ASSOCIATION SCHEMES
• Theory of Association Schemes
• On quasi-thin association schemes
• On quasi-thin association schemes

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