Indecomposable decompositions of modular standard modules for two families of association schemes |
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Authors: | Akihide Hanaki Osamu Shimabukuro |
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Affiliation: | 1.Faculty of Science,Shinshu University,Matsumoto,Japan;2.Faculty of Education,Nagasaki University,Nagasaki,Japan |
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Abstract: | We investigate the indecomposable decomposition of the modular standard modules of two families of association schemes of finite order. First, we show that, for each prime number p, the standard module over a field F of characteristic p of a residually thin scheme S of p-power order is an indecomposable FS-module. Second, we describe the indecomposable decomposition of the standard module over a field of positive characteristic of a wreath product of finitely many association schemes of rank 2. |
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