论文标题

抛物线诱导的右右伴随:一个例子

Derived right adjoints of parabolic induction: an example

论文作者

Koziol, Karol

论文摘要

假设$ p \ geq 5 $是质量数字,让$ g = \ textrm {sl} _2(\ mathbb {q} _p)$。 We calculate the derived functors $\textrm{R}^n\mathcal{R}_B^G(π)$, where $B$ is a Borel subgroup of $G$, $\mathcal{R}_B^G$ is the right adjoint of smooth parabolic induction constructed by Vignéras, and $π$ is any smooth, absolutely irreducible, mod $p$ representation $ g $。

Suppose $p \geq 5$ is a prime number, and let $G = \textrm{SL}_2(\mathbb{Q}_p)$. We calculate the derived functors $\textrm{R}^n\mathcal{R}_B^G(π)$, where $B$ is a Borel subgroup of $G$, $\mathcal{R}_B^G$ is the right adjoint of smooth parabolic induction constructed by Vignéras, and $π$ is any smooth, absolutely irreducible, mod $p$ representation of $G$.

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