Common properties of table algebras and association schemes
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.
scientific article; zbMATH DE number 5280731