Geodesic
General form of non-symmetric spin models
Journal of Algebraic Combinatorics, Tome 12 (2000) no. 1, pp. 59-72.

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

Summary: A spin model (for link invariants) is a square matrix $W$ with non-zero complex entries which satisfies certain axioms. Recently (Jaeger and Nomura, J. Alg. Combin. 10 (1999), 241-278) it was shown that $^{t} WW ^{-1}$ is a permutation matrix (the order of this permutation matrix is called the $ldquo$index $rdquo$ of $W$), and a general form was given for spin models of index 2. In the present paper, we generalize this general form to an arbitrary index $m$. In particular, we give a simple form of $W$ when $m$ is a prime number.
Keywords: spin model, association scheme, Bose-mesner algebra 
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Ikuta, Takuya; Nomura, Kazumasa. General form of non-symmetric spin models. Journal of Algebraic Combinatorics, Tome 12 (2000) no. 1, pp. 59-72. http://geodesic.mathdoc.fr/item/JAC_2000__12_1_a3/