论文标题

由古典$ p $ - 亚种集团的cuspidal和梯子表示所引起的表示形式

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

论文作者

Bosnjak, Barbara

论文摘要

令$ g_n $表示$ sp(2n,f)$或$ so(2n+1,f)$上的$ sp(2n,f)$。我们确定从cuspidal和梯形表示诱导的$ g_n $的组成序列表示,以使梯子表示的cuspidal支持中的最小指数大于或等于$ \ frac {1} {2} $。

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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