论文标题
年轻的模块和舒尔代数
Young Modules and Schur algebras
论文作者
论文摘要
我们在特征2的字段上明确计算对称组的年轻模块的少年模块的s_n $，当时$ n \ le 7 $。我们使用此信息来计算当$ N \ le 5 $时，用于相应的Schur代数的不可兼容的投影的suppoule结构，当包括Gabriel颤动和Weyl模块的结构在内时，我们会提供部分信息。我们解决这些代数块之间的所有莫里塔对等。
We compute explicitly the submodule structure of the Young modules for symmetric groups $S_n$ over fields of characteristic 2, when $n \le 7$. We use this information to compute the submodule structure of indecomposable projectives for the corresponding Schur algebras when $n \le 5$, and we give give partial information when n=6,7, including the Gabriel quiver and the structure of the Weyl modules. We resolve all Morita equivalences between blocks of these algebras.
