Cuspidal $\ell$-modular representations of $p$-adic classical groups

Robert Kurinczuk, Shaun Stevens

Research output: Contribution to journalArticle (Academic Journal)

Abstract

For any algebraically closed field $R$ of characteristic $\ell$, we construct all irreducible cuspidal $R$-representations of a $p$-adic classical group G, with $p$ different from $\ell$, extending the second authors construction when $R=\mathbb{C}$. We show a relationship between this construction and the construction of level zero irreducible cuspidal $R$-representations in an associated product of classical and general linear groups, allowing for an initial refinement of the exhaustive list, which is also new for $\mathbb{C}$-representations.
Original language Undefined/Unknown arXiv In preparation - 7 Sep 2015

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