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Article Dans Une Revue International Mathematics Research Notices Année : 2022

Supercuspidal Support of Irreducible Modulo ℓ-Representations of SL n ( F )

Résumé

Abstract Let $p$ be a prime number and $k$ an algebraically closed field with characteristic $\ell \neq p$. We show that the supercuspidal support of irreducible smooth $k$-representations of Levi subgroups $\textrm {M}^{\prime}$ of $\textrm {SL}_n(F)$ is unique up to $\textrm {M}^{\prime}$-conjugation, where $F$ is either a finite field of characteristic $p$ or a non-Archimedean locally compact field of residual characteristic $p$.

Dates et versions

hal-03695757 , version 1 (15-06-2022)

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Peiyi Cui. Supercuspidal Support of Irreducible Modulo ℓ-Representations of SL n ( F ). International Mathematics Research Notices, 2022, pp.article n° rnac133. ⟨10.1093/imrn/rnac133⟩. ⟨hal-03695757⟩
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