Common properties of table algebras and association schemes
type: Item
instance of: scholarly article
title: Common properties of table algebras and association schemes
zbMATH Open document ID: 1143.05080
published in: Discrete Mathematics
publication date: 2008-05-29T00:00:00Z
review text: In this paper, the author considers a table algebra as a real nonsingular generalized table algebra in the sense of \textit{Z. Arad, E. Fisman} and \textit{M. Muzychuk} [Isr. J. Math. 114, 29--60 (1999; Zbl 0952.20009)]. First he gives some definitions and facts about table algebras. It is well known that every association scheme gives a Hecke-algebra which is a table algebra too. This leads to the natural question which properties of association schemes stay valid for table algebras. For instance, the Second Isomorphism Theorem and the Jordan-Holder's theorem for standard table algebras are proved.
reviewed by: Anatoli Kondrat'ev
Mathematics Subject Classification ID: 05E30
Mathematics Subject Classification ID: 20C15
Mathematics Subject Classification ID: 16P10
zbMATH DE Number: 5280731
zbMATH Keywords: closed subset
zbMATH Keywords: GT-algebra
zbMATH Keywords: quotient algebra
zbMATH Keywords: standard basis
zbMATH Keywords: structure constant
author: A. Rahnamai Barghi
MaRDI profile type: Publication
full work available at URL: j.disc.2007.08.014
OpenAlex ID: W2143955974
cites work: Generalized table algebras
cites work: Erratum: Quotient structures in \(C\)-algebras
cites work: Sylow theory for table algebras, fusion rule algebras, and hypergroups.
cites work: An algebraic approach to association schemes
DOI: 10.1016/J.DISC.2007.08.014
description: scientific article; zbMATH DE number 5280731