Representations of finite special linear groups in non-defining characteristic

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dc.creatorKleshchev, Alexander S.
dc.creatorTiep, Pham Huu
dc.date2008-10-05
dc.date.accessioned2026-07-07T10:07:45Z
dc.date.available2026-07-07T10:07:45Z
dc.descriptionWe determine precisely the number of irreducible summands of an irreducible cross characteristic representation of $GL_{n}(q)$ on restriction to $SL_{n}(q)$. Combined with a recent result of C. Bonnafe, this yields a canonical labeling for irreducible $\ell$-modular representations of $SL_{n}(q)$, where $(\ell,q)=1$. As an application, we classify for the first time complex representations of $SL_{n}(q)$ whose reductions modulo $\ell$ are irreducible.
dc.description24 pages. Advances in Mathematics, to appear
dc.identifierhttps://arxiv.org/abs/0810.0849
dc.identifierhttp://arxiv.org/abs/0810.0849
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170754
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C20, 20E28, 20G40
dc.titleRepresentations of finite special linear groups in non-defining characteristic
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