Integral standard table algebras with a faithful nonreal element of degree 3

DOI10.1006/jabr.2000.8291zbMath0958.05140OpenAlexW1978407919MaRDI QIDQ1585298

H. Arisha, Zvi Arad, Elsa Fisman, Mikhail E. Muzychuk

Publication date: 30 March 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.2000.8291

zbMATH Keywords

Bose-Mesner algebratable algebra

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15)

Related Items (10)

On normalized integral table algebras generated by a non-real faithful element of degree 2 with \(p\) linear elements ⋮ Normalized integral table algebras generated by a faithful real element of degree 2 and having 4 linear elements ⋮ Toward the classification of normalized integral table algebras generated by a faithful non-real element of degree 3 with L1(B)={1} (I) ⋮ On four normalized table algebras generated by a faithful nonreal element of degree 3. ⋮ On Homogeneous Standard Integral Table Algebras of Degree 4 ⋮ Table algebras ⋮ Classification of Table Algebras with Two Basis Elements Whose Product Is a Linear Combination of Their Conjugates ⋮ Integral standard table algebras with a faithful nonreal element of degree 3 ⋮ Integral table algebras and Bose-Mesner algebras with a faithful nonreal element of degree three ⋮ On primitive commutative association schemes with a nonsymmetric relation of valency 4

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• Erratum: Quotient structures in \(C\)-algebras
• Generalized table algebras
• On table algebras, c-algebras, and applications to finite group theory^∗
• Homogeneous integral table algebras of degree three: a trilogy

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