论文标题
关于注射式共生剂的FI词学
On the FI-homology of the injective cogenerators
论文作者
论文摘要
本文的目的是提供有关FI模块类别标准注射式共生剂的FI - 同学的信息，其中FI是有限集和注射的类别。 在特征零的字段k上工作，在同源度零中给出了完整的计算，并且在更高的同源度中进行了猜想的描述。 主要定理的证明将对称群体的表示理论的计算减少，从而利用了年轻的正交基础。
The purpose of this paper is to give information on the FI-homology of the standard injective cogenerators of the category of FI-modules, where FI is the category of finite sets and injections. Working over a field k of characteristic zero, a full calculation is given in homological degree zero and a conjectural description in higher homological degree. The proof of the main theorem reduces to a calculation in representation theory of the symmetric groups, exploiting the Young orthonormal basis.
