Standard Character Condition for C-algebras

Autor: Bagherian, J., Barghi, A. Rahnamai
Rok vydání: 2008
Předmět:
Zdroj: The Electronic Journal of Combinatorics 17 (2010), #R113
Druh dokumentu: Working Paper
Popis: It is well known that the adjacency algebra of an association scheme has the standard character. In this paper we first define the concept of standard character for C-algebras and we say that a C-algebra has the {\it standard character condition} if it has the standard character. Then we investigate some properties of C-algebras which have the standard character condition and prove that under some conditions a C-algebra has an adjacency algebra homomorphic image. In particular, we obtain a necessary and sufficient condition for which a commutative table algebra comes from an association scheme.
Databáze: arXiv