On residually thin and nilpotent table algebras, fusion rings, and association schemes

DOI10.5802/alco.194OpenAlexW4214761915MaRDI QIDQ2700323

Harvey I. Blau

Publication date: 20 April 2023

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

Full work available at URL: https://doi.org/10.5802/alco.194

zbMATH Keywords

association schemenilpotentfusion ringtable algebraresidually thinthin central chain

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Association schemes, strongly regular graphs (05E30) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Finite nilpotent groups, (p)-groups (20D15) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Related Items (1)

On \(p\)-standard table algebras of order \(p^3\)

Cites Work

• Unnamed Item
• Fusion rings with few degrees.
• A wedge product of association schemes
• Table algebras
• Sylow theory for table algebras, fusion rule algebras, and hypergroups.
• Erratum: Quotient structures in \(C\)-algebras
• An algebraic approach to association schemes
• Generalized table algebras
• On residually thin hypergroups
• Indecomposable decompositions of modular standard modules for two families of association schemes
• Nilpotent fusion categories
• Nilpotent schemes and group-like schemes
• Normal series and character values in p-standard table algebras
• Theory of Association Schemes

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