A Classification of Certain Finite Double Coset Collections in the Classical Groups

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dc.creatorDuckworth, W. Ethan
dc.date2003-09-27
dc.date.accessioned2026-07-07T05:01:30Z
dc.date.available2026-07-07T05:01:30Z
dc.descriptionLet $G$ be a classical algebraic group, $X$ a maximal rank reductive subgroup and $P$ a parabolic subgroup. This paper classifies when $X\G/P$ is finite. Finiteness is proven using geometric arguments about the action of $X$ on subspaces of the natural module for $G$. Infiniteness is proven using a dimension criterion which involves root systems.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0309446
dc.identifierhttp://arxiv.org/abs/math/0309446
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/68693
dc.subjectGroup Theory
dc.titleA Classification of Certain Finite Double Coset Collections in the Classical Groups
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