Lusztig's conjecture for finite classical groups with even characteristic

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dc.creatorShoji, Toshiaki
dc.date2007-12-14
dc.date.accessioned2026-07-07T08:49:16Z
dc.date.available2026-07-07T08:49:16Z
dc.descriptionThe determination of scalars involved in Lusztig's conjecture for finite reductive groups $G(F_q)$ was achieved by Waldspurger in the case of symplectic groups or orthogonal groups, under the condition that $p,q$ are large enough. Here $p$ is the characteristic of the finite field $F_q$. In this paper, we determine the scalars in the case of symplectic groups with $p = 2$, by applying the theory of symmetric spaces over a finite field due to Kawanaka and Lusztig. We also obtain a partial result in the case of special orthogonal groups with $p = 2$.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/0712.2296
dc.identifierhttp://arxiv.org/abs/0712.2296
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144238
dc.subjectRepresentation Theory
dc.subject20G40; 20G05
dc.titleLusztig's conjecture for finite classical groups with even characteristic
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