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arXiv · 1905.10754

On $e$-cuspidal pairs of finite groups of exceptional Lie Type

Ruwen Hollenbach
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Abstract

Let $G$ be a simple, simply connected algebraic group of exceptional type defined over $\mathbb{F}_q$ with Frobenius endomorphism $F: G \to G$. Let $\ell \nmid q$ be a good prime for $G$. We determine the number of irreducible Brauer characters in the quasi-isolated $\ell$-blocks of $G^F$. This is done by proving that generalized $e$-Harish-Chandra theory holds for the Lusztig series associated to quasi-isolated elements of $G^{*F}$.

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BibTeXRIS

Ruwen Hollenbach. 2019-05-26. On $e$-cuspidal pairs of finite groups of exceptional Lie Type. https://arxiv.org/abs/1905.10754

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