Indecomposable decompositions of modular standard modules for two families of association schemes
Indecomposable decompositions of modular standard modules for two families of association schemes
复制标题
两族关联方案的模块化标准模块的不可分解分解
DOI：
10.1007/s10801-017-0758-2
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发表时间：
2017
影响因子：
0.8
通讯作者：
Shimabukuro Osamu
中科院分区：
文献类型：
--
作者：
Hanaki Akihide;Shimabukuro Osamu
研究了两族有限阶结合方案的模标准模的不可分解分解。首先，我们证明了对于每个素数p，剩余稀疏模式的域F上的标准模是不可分解的FS-模。其次，我们刻画了有限多个2阶结合方案的圈积的正特征域上标准模的不可分解分解。
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 numberp, the standard module over a fieldFof characteristicpof a residually thin schemeSofp-power order is an indecomposableFS-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.