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

Zvi Arad; Efi Cohen

doi:10.1142/s1005386706000526

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

Zvi Arad, Efi Cohen

Department of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	569-598
Number of pages	30
Journal	Algebra Colloquium
Volume	13
Issue number	4
DOIs	https://doi.org/10.1142/s1005386706000526
State	Published - Dec 2006

Keywords

Association schemes
Ordinary representations
Table algebras

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10.1142/s1005386706000526

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abstract = "Table Algebras (A, B) with distinct non-real basis elements a,b ∈ B satisfying ab = mā + n{\=b} (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.",

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

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Keywords

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