论文标题
不可分解模块的张量产物分解的发电机
Generators for Decompositions of Tensor Products of Indecomposable Modules
论文作者
论文摘要
让$ f $是非零特性$ p $的字段，让$ g $是订单$ q = p^p = p^a $的某些正整数$ a $，让$ u $和$ w $是不可挽回的$ f g g $ mmodules。我们在特定的$ f $ basis的$ u \ u \ otimes w $的特定$ f $ - 基础上，为$ u \ otimes w $的每个不可分解组件确定一个生成器，扩大了每个组件以多重性发生的以前的工作。一位匿名审稿人帮助我们意识到，我们的结果实际上只是IIWA和IWAMATSU先前结果的一种翻译。
Let $F$ be a field of non-zero characteristic $p$, let $G$ be a cyclic group of order $q =p^a$ for some positive integer $a$, and let $U$ and $W$ be indecomposable $F G$-modules. We identify a generator for each of the indecomposable components of $U \otimes W$ in terms of a particular $F$-basis of $U \otimes W$, extending previous work in which each component occurred with multiplicity one. An anonymous reviewer helped us realize that our results are really just a translation of previous results of Iiwa and Iwamatsu to our situation.
