Universal derived equivalences of posets

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dc.creatorLadkani, Sefi
dc.date2007-05-07
dc.date2007-06-25
dc.date.accessioned2026-07-07T08:11:48Z
dc.date.available2026-07-07T08:11:48Z
dc.descriptionBy using only combinatorial data on two posets X and Y, we construct a set of so-called formulas. A formula produces simultaneously, for any abelian category A, a functor between the categories of complexes of diagrams over X and Y with values in A. This functor induces a triangulated functor between the corresponding derived categories. This allows us to prove, for pairs X, Y of posets sharing certain common underlying combinatorial structure, that for any abelian category A, regardless of its nature, the categories of diagrams over X and Y with values in A are derived equivalent.
dc.description18 pages, added author's details
dc.identifierhttps://arxiv.org/abs/0705.0946
dc.identifierhttp://arxiv.org/abs/0705.0946
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/132239
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.subject18E30; 06A11
dc.titleUniversal derived equivalences of posets
dc.typetext

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