Semisimplicity of adjacency algebras of association schemes

DOI10.1006/jabr.1999.8125zbMath0942.05066OpenAlexW2092074718MaRDI QIDQ1972028

Akihide Hanaki

Publication date: 13 August 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1999.8125

zbMATH Keywords

association schemesadjacency algebraframe number

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (11)

On some p-transitive association schemes ⋮ Semisimplicity of adjacency algebras of coherent configurations ⋮ A modular absolute bound condition for primitive association schemes ⋮ Irreducible representations of wreath products of association schemes ⋮ Simplicity of \(p\)-blocks of modular adjacency algebras of association schemes ⋮ Schur indices for reality-based algebras with two nonreal basis elements ⋮ Algebraic structure of association schemes of prime order ⋮ On modular standard modules of association schemes ⋮ Frame numbers, splitting fields, and integral adjacency algebras of commutative association schemes ⋮ A survey of semisimple algebras in algebraic combinatorics ⋮ Representations of finite association schemes

Cites Work

• An algebraic approach to association schemes
• On table algebras, c-algebras, and applications to finite group theory^∗
• The double cosets of a finite group
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