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arXiv · 2012.02580

On Extending Unipotent Representations to their Stabilizers

Matthias Klupsch
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Abstract

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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Matthias Klupsch. 2020-12-04. On Extending Unipotent Representations to their Stabilizers. https://arxiv.org/abs/2012.02580

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