Name
Abstract | ||
|---|---|---|
It is well known that the complex adjacency algebra A of an association scheme has a specific module, namely the standard module, that contains the regular module of A as a submodule. The character afforded by the standard module is called 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 standard character condition if it admits the standard character. Among other results we acquire a necessary and sufficient condition for a table algebra to originate from an association scheme. Finally, we prove that given a C-algebra admits the standard character and its all degrees are integers if and only if so its dual. |
Year | Venue | Field |
|---|---|---|
2010 | ELECTRONIC JOURNAL OF COMBINATORICS | Integer,Discrete mathematics,Association scheme,Combinatorics,Adjacency algebra,If and only if,Mathematics |
DocType | Volume | Issue |
Journal | 17.0 | 1.0 |
ISSN | Citations | PageRank |
1077-8926 | 1 | 0.42 |
References | Authors | |
1 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Amir Rahnamai Barghi | 1 | 9 | 2.79 |
| Javad Bagherian | 2 | 2 | 1.11 |