Geodesic
Standard character condition for table algebras
The electronic journal of combinatorics, Tome 17 (2010)

Voir la notice de l'article provenant de la source The Electronic Journal of Combinatorics website

Zbl EuDML
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.
DOI : 10.37236/385
Classification : 05E30, 20C15, 16P10
Mots-clés : complex adjacency algebra, association scheme, standard character, \(C\)-algebras, table algebra 
Amir Rahnamai Barghi; Javad Bagherian. Standard character condition for table algebras. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/385
@article{10_37236_385,
     author = {Amir Rahnamai Barghi and Javad Bagherian},
     title = {Standard character condition for table algebras},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/385},
     zbl = {1193.05166},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/385/}
}
TY  - JOUR
AU  - Amir Rahnamai Barghi
AU  - Javad Bagherian
TI  - Standard character condition for table algebras
JO  - The electronic journal of combinatorics
PY  - 2010
VL  - 17
UR  - http://geodesic.mathdoc.fr/articles/10.37236/385/
DO  - 10.37236/385
ID  - 10_37236_385
ER  - 
%0 Journal Article
%A Amir Rahnamai Barghi
%A Javad Bagherian
%T Standard character condition for table algebras
%J The electronic journal of combinatorics
%D 2010
%V 17
%U http://geodesic.mathdoc.fr/articles/10.37236/385/
%R 10.37236/385
%F 10_37236_385

Cité par Sources :