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Irreducible Representations of Wreath Products of Association Schemes |
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| Authors: | Akihide Hanaki Kaoru Hirotsuka |
| Affiliation: | (1) Department of Mathematical Sciences, Faculty of Science, Shinshu University, Matsumoto, 390-8621, Japan;(2) Department of Mathematical Sciences, Graduate School of Science and Technology, Shinshu University, Matsumoto, 390-8621, Japan |
| Abstract: | The wreath product of finite association schemes is a natural generalization of the notion of the wreath product of finite permutation groups. We determine all irreducible representations (the Jacobson radical) of a wreath product of two finite association schemes over an algebraically closed field in terms of the irreducible representations (Jacobson radicals) of the two factors involved. |
| Keywords: | association scheme irreducible representation wreath product |
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