Modular adjacency algebras, standard representations, and \(p\)-ranks of cyclotomic association schemes

DOI10.1007/s10801-016-0681-yzbMath1354.05147OpenAlexW2470941396MaRDI QIDQ345144

Akihide Hanaki

Publication date: 25 November 2016

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

Full work available at URL: https://doi.org/10.1007/s10801-016-0681-y

zbMATH Keywords

association schemesrepresentations\(p\)-rankcyclotomic schemes

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (1)

Indecomposable decompositions of modular standard modules for two families of association schemes

Cites Work

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• Modular adjacency algebras of Grassmann graphs
• On the \(p\)-rank of the adjacency matrices of strongly regular graphs
• Cyclotomic schemes over finite rings
• On the \(p\)-ranks of the adjacency matrices of distance-regular graphs
• Modular adjacency algebras of Hamming schemes
• On modular standard modules of association schemes
• Locality of a modular adjacency algebra of an association scheme of prime power order
• Uniqueness of strongly regular graphs having minimal \(p\)-rank
• An algebraic approach to association schemes
• Some results on cyclic codes which are invariant under the affine group and their applications

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