Standard Character Condition for C-algebras

Details Standard Character Condition for C-algebras Standard Character Condition for C-algebras

2008-03-17

arxiv.org/abs/0803.2423v1

Mathematics

Representation Theory

Scientific paper

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.

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