On modular standard modules of association schemes
Journal of Algebraic Combinatorics, Tome 21 (2005) no. 3, pp. 269-279.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We will determine the structure of the modular standard modules of association schemes of class two. In the process, we will give the theoretical interpretation for the $p$-rank theory for strongly regular graphs, and understand the $p$-rank as the dimension of a submodule of the modular standard module. Considering the modular standard module, we can obtain the detailed classification more than the $p$-rank and the parameters.
Keywords: key words association scheme, modular adjacency algebra, modular standard module, $p$-rank, strongly regular graph
@article{JAC_2005__21_3_a5,
     author = {Hanaki, Akihide and Yoshikawa, Masayoshi},
     title = {On modular standard modules of association schemes},
     journal = {Journal of Algebraic Combinatorics},
     pages = {269--279},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2005__21_3_a5/}
}
TY  - JOUR
AU  - Hanaki, Akihide
AU  - Yoshikawa, Masayoshi
TI  - On modular standard modules of association schemes
JO  - Journal of Algebraic Combinatorics
PY  - 2005
SP  - 269
EP  - 279
VL  - 21
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2005__21_3_a5/
LA  - en
ID  - JAC_2005__21_3_a5
ER  - 
%0 Journal Article
%A Hanaki, Akihide
%A Yoshikawa, Masayoshi
%T On modular standard modules of association schemes
%J Journal of Algebraic Combinatorics
%D 2005
%P 269-279
%V 21
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2005__21_3_a5/
%G en
%F JAC_2005__21_3_a5
Hanaki, Akihide; Yoshikawa, Masayoshi. On modular standard modules of association schemes. Journal of Algebraic Combinatorics, Tome 21 (2005) no. 3, pp. 269-279. http://geodesic.mathdoc.fr/item/JAC_2005__21_3_a5/