Generalized wreath products of table algebras determined by their character tables and applications to association schemes

DOI10.1016/J.DISC.2018.09.009zbMath1400.20005OpenAlexW2896339146WikidataQ129126547 ScholiaQ129126547MaRDI QIDQ1618217

Gang Chen, Bangteng Xu

Publication date: 13 November 2018

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2018.09.009

zbMATH Keywords

association schemescharacter tablestable algebrasclosed subsetsgeneralized wreath products

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15) Extensions, wreath products, and other compositions of groups (20E22)

Related Items (3)

Wedge-direct sums of table algebras and applications to association schemes. II ⋮ On structures of quasi-thin table algebras and applications to association schemes ⋮ Wedge-direct sums of group algebras of finite groups

Cites Work

• Irreducible characters of wreath products in reality-based algebras and applications to association schemes.
• Fusion rings with few degrees.
• Combinatorial extensions of Terwilliger algebras and wreath products of association schemes
• Characterizations of wreath products of one-class association schemes
• Some structure theory of table algebras and applications to association schemes
• On wreath products of \(C\)-algebras, table algebras, and association schemes.
• Permutation modules over table algebras and applications to association schemes.
• Characters of table algebras and applications to association schemes
• A wedge product of association schemes
• Coherent algebras
• Generalized table algebras
• Table algebras with exactly one irreducible character whose degree and multiplicity are not equal
• Structures of commutative table algebras determined by their character tables and applications to finite groups
• Theory of Association Schemes
• Camina Triples

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