Geodesic
Duality maps of finite abelian groups and their applications to spin models
Journal of Algebraic Combinatorics, Tome 8 (1998) no. 3, pp. 223-233.

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Summary: Duality maps of finite abelian groups are classified. As a corollary, spin models on finite abelian groups which arise from the solutions of the modular invariance equations are determined as tensor products of indecomposable spin models. We also classify finite abelian groups whose Bose-Mesner algebra can be generated by a spin model.
Keywords: spin model, finite abelian group, quadratic form, association scheme 
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     author = {Bannai, Etsuko and Munemasa, Akihiro},
     title = {Duality maps of finite abelian groups and their applications to spin models},
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Bannai, Etsuko; Munemasa, Akihiro. Duality maps of finite abelian groups and their applications to spin models. Journal of Algebraic Combinatorics, Tome 8 (1998) no. 3, pp. 223-233. http://geodesic.mathdoc.fr/item/JAC_1998__8_3_a3/