Maximal Levi Subgroups Acting on the Building of GL_n(F)

dc.creatorNeedleman, Jonathan
dc.date2008-11-10
dc.date.accessioned2026-07-07T10:17:17Z
dc.date.available2026-07-07T10:17:17Z
dc.descriptionIn this paper we give a complete invariant of the action of GL_n(F)\times GL_m(F) acting on the Euclidean building B[GL_n(F)], where F is a non-archimedian field. We then use this invariant to give a natural metric on the resulting quotient space. In the special case of the torus acting on B[GL_2(F)] this gives a method of calculating of any vertex to any fixed apartment.
dc.identifierhttps://arxiv.org/abs/0811.1551
dc.identifierhttp://arxiv.org/abs/0811.1551
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173800
dc.subjectGroup Theory
dc.subject20G25(Primary), 22E20, 20E42, 20E08 (Secondary)
dc.titleMaximal Levi Subgroups Acting on the Building of GL_n(F)
dc.typetext

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