Simple connectedness of quasitilted algebras

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dc.creatorMeur, Patrick Le
dc.date2007-05-03
dc.date.accessioned2026-07-07T07:59:19Z
dc.date.available2026-07-07T07:59:19Z
dc.descriptionLet A be a basic connected finite dimensional algebra over an algebraically closed field. Assuming that A is quasitilted, we prove that A is simply connected if and only if its first Hochschild cohomology group HH^1(A) vanishes. This generalises a result of I. Assem, F.U. Coelho and S. Trepode and which proves the same equivalence for tame quasitilted algebras.
dc.descriptionThis note is a complement to the preprint arXiv:math/0702457 of the author and in which the same characterisation of simple connectedness is proved for piecewise hereditary algebras of type a quiver
dc.identifierhttps://arxiv.org/abs/0705.0472
dc.identifierhttp://arxiv.org/abs/0705.0472
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128322
dc.subjectRepresentation Theory
dc.subject16G10; 18G10
dc.titleSimple connectedness of quasitilted algebras
dc.typetext

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