Standard Character Condition for C-algebras
Representation Theory
2015-08-26 v1 Combinatorics
Abstract
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.
Keywords
Cite
@article{arxiv.0803.2423,
title = {Standard Character Condition for C-algebras},
author = {J. Bagherian and A. Rahnamai Barghi},
journal= {arXiv preprint arXiv:0803.2423},
year = {2015}
}