Part II. On antisymmetric homogeneous integral table algebras of degree three

Z. Arad, E. Fisman, V. Miloslavsky, M. Muzychuk

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper determines the homogeneous integral table algebras of degree three in which the given basis has a faithful element and has no nontrivial elements that are either real (symmetric) or linear, and where an additional hypothesis is satisfied. It is shown that all such bases must occur as the set of orbit sums in the complex group algebra of a finite abelian group under the action of a fixed-point-free automorphism of order three.

Original languageEnglish
Pages (from-to)54-73
Number of pages20
JournalMemoirs of the American Mathematical Society
Volume144
Issue number684
StatePublished - 1 Mar 2000
Externally publishedYes

Keywords

  • C-algebra
  • Faithful element
  • Group algebra
  • Integral table algebra
  • Schur ring
  • Universal covering

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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