The Schur indices of the cuspidal unipotent characters of the finite Chevalley groups $E_7(q)$

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dc.creatorGeck, Meinolf
dc.date2003-06-18
dc.date.accessioned2026-07-07T04:59:02Z
dc.date.available2026-07-07T04:59:02Z
dc.descriptionWe show that the two cuspidal unipotent characters of a finite Chevalley group $E_7(q)$ have Schur index~2, provided that $q$ is an even power of a (sufficiently large) prime number $p$ such that $p\equiv 1 \bmod 4$. The proof uses a refinement of Kawanaka's generalized Gelfand--Graev representations and some explicit computations with the {\sf CHEVIE} computer algebra system.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0306268
dc.identifierhttp://arxiv.org/abs/math/0306268
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67820
dc.subjectRepresentation Theory
dc.subject20C15
dc.titleThe Schur indices of the cuspidal unipotent characters of the finite Chevalley groups $E_7(q)$
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