On Homogeneous Standard Integral Table Algebras of Degree 4

DOI10.1080/00927870500387572zbMath1143.20004OpenAlexW2041528884MaRDI QIDQ5470013

Zvi Arad, Y. Erez, Mikhail E. Muzychuk

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500387572

zbMATH Keywords

conjugacy classesgroup algebrasassociation schemesirreducible complex charactersuniversal coveringsSchur ringsalgebras of class functionsfaithful elementsnon-real elementsstandard integral table algebras

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 (9)

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 pseudocyclic table algebras and applications to pseudocyclic association schemes ⋮ On normalized integral table algebras generated by a non-real faithful element of degree 2 with |L1(B)|=2 ⋮ Real fusion rings with degrees 1 and 4 ⋮ Special Decompositions of Products in Table Algebras ⋮ On Perfect P-polynomial Table Algebras ⋮ Table algebras ⋮ A Class ofP-polynomial Table Algebras with and without Integer Multiplicities

Cites Work

• 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
• On homogeneous integral table algebras
• 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 even generalized table algebras
• On standard integral table algebras generated by an element of width 2.
• On a class of integral table algebras
• Integral table algebras, affine diagrams, and the analysis of degree two
• Generalized table algebras
• Standard integral table algebras generated by a non-real element of small degree

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