Classification of table algebras with two basis elements whose product is a linear combination of their conjugates

Zvi Arad, Efi Cohen

Research output: Contribution to journalArticlepeer-review

Abstract

Table Algebras (A, B) with distinct non-real basis elements a,b ∈ B satisfying ab = mā + nb̄ (m, n G ℝ+) are studied in this paper. The two cases where either a is real and b is non-real or a, b are both real were completely classified by Arad and Blau. Here, we study the remaining case where a and b are non-real.

Original languageEnglish
Pages (from-to)569-598
Number of pages30
JournalAlgebra Colloquium
Volume13
Issue number4
DOIs
StatePublished - Dec 2006

Keywords

  • Association schemes
  • Ordinary representations
  • Table algebras

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