论文标题

将一项稳定器扩展到其稳定器时

On Extending Unipotent Representations to their Stabilizers

论文作者

Klupsch, Matthias

论文摘要

我们表明,有限型类型的有限群体的分裂LEVI亚组的不可证明的单位表示扩展到给定的Levi亚组的标准器内的稳定器。为此,我们将多重性定理从常规嵌入到任意同种型。

We show that irreducible unipotent representations of split Levi subgroups of finite groups of Lie type extend to their stabilizers inside the normalizer of the given Levi subgroup. For this purpose, we extend the multiplicity-freeness theorem from regular embeddings to arbitrary isotypies.

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