论文标题
$ \ Mathsf C $类型的电感块Alperin重量条件和Prime $ 2 $
The inductive blockwise Alperin weight condition for type $\mathsf C$ and the prime $2$
论文作者
论文摘要
我们为简单的谎言类型$ \ mathsf c $和Bad Prime $ 2 $的简单组建立了电感块Alperin重量条件。作为主要步骤，我们为有限符号组的不可约2 $ 2 $ brauer的字符得出了标签，sp $ _ {2n}（q）$（带有奇数$ q $），以及自动形态的动作。作为另一个重要的成分，我们证明了重量的约旦分解。
We establish the inductive blockwise Alperin weight condition for simple groups of Lie type $\mathsf C$ and the bad prime $2$. As a main step, we derive a labelling set for the irreducible $2$-Brauer characters of the finite symplectic groups Sp$_{2n}(q)$ (with odd $q$), together with the action of automorphisms. As a further important ingredient we prove a Jordan decomposition for weights.
