Special decompositions of products in table algebras

Zvi Arad; Efi Cohen

doi:10.1142/S1005386709000029

Special decompositions of products in table algebras

Zvi Arad, Efi Cohen

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Table Algebras (A, B) with distinct non-trivial basis elements a, b ∈ B satisfying either $ab = m 7overline;a + n ̄b$ or $ab = m ̄a + nb$ for some m, n ∈ ℝ⁺ are studied in this paper. The case $ab = m ̄a + nb$ was partially classified by Arad and Blau, and the case $ab = m ̄a + n ̄b$ was partially classified by Arad and Cohen.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	Algebra Colloquium
Volume	16
Issue number	1
DOIs	https://doi.org/10.1142/S1005386709000029
State	Published - Mar 2009

Keywords

Association schemes
Finite groups
Ordinary representations
Table algebras

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abstract = "Table Algebras (A, B) with distinct non-trivial basis elements a, b ∈ B satisfying either $ab = m 7overline;a + n{\= }b$ or $ab = m{\= }a + nb$ for some m, n ∈ ℝ+ are studied in this paper. The case $ab = m{\= }a + nb$ was partially classified by Arad and Blau, and the case $ab = m{\= }a + n{\= }b$ was partially classified by Arad and Cohen.",

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author = "Zvi Arad and Efi Cohen",

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KW - Ordinary representations

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Special decompositions of products in table algebras

Abstract

Keywords

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