Geodesic
Type II matrices and their Bose-Mesner algebras
Journal of Algebraic Combinatorics, Tome 17 (2003) no. 1, pp. 19-37.

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

Summary: Type II matrices were introduced in connection with spin models for link invariants. It is known that a pair of Bose-Mesner algebras (called a dual pair) of commutative association schemes are naturally associated with each type II matrix. In this paper, we show that type II matrices whose Bose-Mesner algebras are imprimitive are expressed as so-called generalized tensor products of some type II matrices of smaller sizes. As an application, we give a classification of type II matrices of size at most 10 except 9 by using the classification of commutative association schemes.
Keywords: type II matrix, spin model, Bose-mesner algebra 
@article{JAC_2003__17_1_a3,
     author = {Hosoya, Rie and Suzuki, Hiroshi},
     title = {Type {II} matrices and their {Bose-Mesner} algebras},
     journal = {Journal of Algebraic Combinatorics},
     pages = {19--37},
     publisher = {mathdoc},
     volume = {17},
     number = {1},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2003__17_1_a3/}
}
TY  - JOUR
AU  - Hosoya, Rie
AU  - Suzuki, Hiroshi
TI  - Type II matrices and their Bose-Mesner algebras
JO  - Journal of Algebraic Combinatorics
PY  - 2003
SP  - 19
EP  - 37
VL  - 17
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2003__17_1_a3/
LA  - en
ID  - JAC_2003__17_1_a3
ER  - 
%0 Journal Article
%A Hosoya, Rie
%A Suzuki, Hiroshi
%T Type II matrices and their Bose-Mesner algebras
%J Journal of Algebraic Combinatorics
%D 2003
%P 19-37
%V 17
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2003__17_1_a3/
%G en
%F JAC_2003__17_1_a3
Hosoya, Rie; Suzuki, Hiroshi. Type II matrices and their Bose-Mesner algebras. Journal of Algebraic Combinatorics, Tome 17 (2003) no. 1, pp. 19-37. http://geodesic.mathdoc.fr/item/JAC_2003__17_1_a3/