Duality Maps of Finite Abelian Groups and Their Applications to Spin Models |
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| Authors: | Etsuko Bannai Akihiro Munemasa |
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| Affiliation: | (1) Department of Mathematics, Hakozaki 6-10-1, Higashi-ku, Kyushu University, 812 Fukuoka, Japan |
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| Abstract: | 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. |
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| Keywords: | spin model finite abelian group quadratic form association scheme |
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