Association schemes, fusion rings, C-algebras, and reality-based algebras where all nontrivial multiplicities are equal

DOI10.1007/s10801-009-0197-9zbMath1230.05296OpenAlexW2061794175MaRDI QIDQ976841

Harvey I. Blau

Publication date: 16 June 2010

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

Full work available at URL: https://doi.org/10.1007/s10801-009-0197-9

zbMATH Keywords

multiplicityassociation schemeadjacency algebrafusion ringC-algebrareality-based algebra

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Finite-dimensional division rings (16K20) Hypergroups (20N20)

Related Items (9)

The recognition problem for table algebras and reality-based algebras ⋮ Quotient structures, homomorphisms, and partial wreath products in reality-based algebras ⋮ Fusion rings with few degrees. ⋮ Noncommutative standard table algebras with at most one nontrivial multiplicity ⋮ Noncommutative reality-based algebras of rank 6 ⋮ On Imprimitive NonCommutative Association Schemes of Order 6 ⋮ Table algebras with central fusions ⋮ A Class of Imprimitive Association Schemes ⋮ Commutative Standard Table Algebras with at Most One Nontrivial Multiplicity

Cites Work

• Standard character condition for table algebras
• Table algebras
• Coherent algebras
• On table algebras and applications to finite group theory
• Algebras in Plancherel duality and algebraic combinatorics
• Actions of finite hypergroups.
• Sylow theory for table algebras, fusion rule algebras, and hypergroups.
• Tabular algebras and their asymptotic versions.
• Quotient structures in \(C\)-algebras
• An algebraic approach to association schemes
• Generalized table algebras
• Nilpotent fusion categories
• Algebraic structure of association schemes of prime order
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