Representations induced from cuspidal and ladder representations of classical $p$-adic groups

Barbara Bosnjak

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arXiv · 2010.07619

Representations induced from cuspidal and ladder representations of classical $p$-adic groups

Barbara Bosnjak

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Abstract

Let $G_n$ denote either the group $Sp(2n, F)$ or $SO(2n+1, F)$ over a non-archimedean local field $F$. We determine the composition series of representations of $G_n$ induced from cuspidal and ladder representations such that the minimal exponent in the cuspidal support of the ladder representation is greater than or equal to $\frac{1}{2}$.

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Barbara Bosnjak. 2020-10-15. Representations induced from cuspidal and ladder representations of classical $p$-adic groups. https://arxiv.org/abs/2010.07619

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