论文标题
Abelian子组和半imple元素，$ 2 $ - 模块化表示符号组$ sp_ {2n}（2）$
Abelian subgroups and semisimple elements in $2$-modular representations of the symplectic group $Sp_{2n}(2)$
论文作者
论文摘要
我们确定符号组$ g = sp_ {2n}（2）$的不可约2型表示，其对每个Abelian子组的限制都具有微不足道的成分。对于$ g $的最大摩托车也获得了类似的结果。关于给定的不可约定表示$ g $的$ g $元素的特征值1的存在有很大的信息。
We determine the irreducible 2-modular representations of the symplectic group $G=Sp_{2n}(2)$ whose restriction to every abelian subgroup has a trivial constituent. A similar result is obtained for maximal tori of $G$. There is significant information on the existence of eigenvalue 1 of elements of $G$ in a given irreducible representation of $G$.
