Ramanujan Complexes of Type $\tilde{A_d}$

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dc.creatorLubotzky, Alex
dc.creatorSamuels, Beth
dc.creatorVishne, Uzi
dc.date2004-06-10
dc.date2005-01-05
dc.date.accessioned2026-07-07T05:09:08Z
dc.date.available2026-07-07T05:09:08Z
dc.descriptionWe define and construct Ramanujan complexes. These are simplicial complexes which are higher dimensional analogues of Ramanujan graphs. They are obtained as quotients of the buildings of type $\tilde{A}_{d-1}$ associated with $\operatorname{PGL}_d(F)$ where $F$ is a local field of positive characteristic.
dc.description32 pages
dc.identifierhttps://arxiv.org/abs/math/0406208
dc.identifierhttp://arxiv.org/abs/math/0406208
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71520
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject22E55, 20E42
dc.titleRamanujan Complexes of Type $\tilde{A_d}$
dc.typetext

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