On structures of modular adjacency algebras of Johnson schemes |
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| Authors: | Osamu Shimabukuro |
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| Institution: | aFukushima National College of Technology, Department of Mechanical Engineering. 30 Nagao, Taira-Kamiarakawa, Iwaki, Fukushima 970-8034, Japan |
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| Abstract: | In this paper, we consider algebras over a field of characteristic p, which are generated by adjacency algebras of Johnson schemes. If the algebra is semisimple, the structure is the same as that of the well-known Bose-Mesner algebras. We determine the structure of the algebra when it is not semisimple. |
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| Keywords: | Association scheme Hecke algebra Modular representation |
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