论文标题
Harish-Chandra归纳和约旦的角色分解
Harish-Chandra Induction and Jordan Decomposition of Characters
论文作者
论文摘要
我们表明，对于任何有限连接的还原群体，始终可以选择约旦分解，以使其与Harish-Chandra归纳有关。在途中，我们表明，李维亚亚组的cuspidal代表诱导Harish-Chandra的内态代数是对单位对应物的同构。这些结果概括了具有连接中心的组的众所周知的结果。
We show that for any finite connected reductive group, a Jordan decomposition can always be chosen such that it commutes with Harish-Chandra induction. En route, we show that the endomorphism algebra of the Harish-Chandra induction of a cuspidal representation of a Levi subgroup is isomorphic to a unipotent counterpart. These results generalize the well known results for groups with connected center.
