Modular representation theory of BIB designs

DOI10.1016/j.laa.2016.10.030zbMath1349.05338OpenAlexW2552340436MaRDI QIDQ347499

Osamu Shimabukuro, Yasuaki Miyazaki, Akihide Hanaki

Publication date: 30 November 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.2016.10.030

zbMATH Keywords

symmetric designstrongly regular graphcoherent configurationquasi-symmetric designmodular adjacency algebramodular standard module

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Association schemes, strongly regular graphs (05E30)

Cites Work

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• Semisimplicity of adjacency algebras of coherent configurations
• Characterization of balanced coherent configurations
• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• Permutation group approach to association schemes
• Coherent algebras
• Coherent configurations. I: Ordinary representation theory
• Ranks of incidence matrices of Steiner triple systems
• Problems in algebraic combinatorics
• Characterizing the Hermitian and Ree unitals on 28 points
• On modular standard modules of association schemes
• An algebraic approach to association schemes
• Uniformity in association schemes and coherent configurations: cometric \(Q\)-antipodal schemes and linked systems
• On pseudocyclic association schemes
• Coherent configurations over copies of association schemes of prime order
• Thin coherent configurations and groupoids

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