A category of association schemes |
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Authors: | Akihide Hanaki |
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Affiliation: | Department of Mathematics, Faculty of Science, Shinshu University, Asahi 3-1-1, Matsumoto 390-8621, Japan |
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Abstract: | We define a category of association schemes and investigate its basic properties. We characterize monomorphisms and epimorphisms in our category. The category is not balanced. The category has kernels, cokernels, and epimorphic images. The category is not an exact category, but we consider exact sequences. Finally, we consider a full subcategory of our category and show that it is equivalent to the category of finite groups. |
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Keywords: | Association scheme Category Subscheme Quotient scheme Fusion scheme Thin scheme |
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