Classification of Table Algebras with Two Basis Elements Whose Product Is a Linear Combination of Their Conjugates

DOI10.1142/S1005386706000526zbMath1137.20005MaRDI QIDQ3421801

Zvi Arad, Effi Cohen

Publication date: 8 February 2007

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

zbMATH Keywords

association schemestable algebrasordinary representations

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (1)

Special Decompositions of Products in Table Algebras

Cites Work

• Powers of characters of finite groups
• About products of irreducible characters and products of conjugacy classes in finite groups
• On table algebras and applications to finite group theory
• Table algebras and applications to products of characters in finite groups
• Real table algebras and applications to finite groups of extended Camina-Frobenius type
• Integral standard table algebras with a faithful nonreal element of degree 3
• Erratum: Quotient structures in \(C\)-algebras
• Generalized table algebras
• Products of conjugacy classes in groups
• An analogy between products of two conjugacy classes and products of two irreducible characters in finite groups
• Standard integral table algebras generated by a non-real element of small degree

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