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dc.contributor.authorRubio y Degrassi, Lleonard
dc.contributor.authorSchroll, Sibylle
dc.contributor.authorSolotar, Andrea
dc.date.accessioned2019-04-16T06:40:46Z
dc.date.available2019-04-16T06:40:46Z
dc.date.issued2019-04-16
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1411
dc.description.abstractIn this paper we study sufficient conditions for the solvability of the first Hochschild cohomology of a finite dimensional algebra as a Lie algebra in terms of its Ext-quiver in arbitrary characteristic. In particular, we show that if the quiver has no parallel arrows and no loops then the first Hochschild cohomology is solvable. For quivers containing loops, we determine easily verifiable sufficient conditions for the solvability of the first Hochschild cohomology. We apply these criteria to show the solvabilty of the first Hochschild cohomology space for large families of algebras, namely, several families of self-injective tame algebras including all tame blocks of finite groups and some wild algebras including quantum complete intersections.en_US
dc.language.isoen_USen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesOberwolfach Preprints;2019,09
dc.titleThe First Hochschild Cohomology as a Lie Algebraen_US
dc.typePreprinten_US
dc.rights.licenseDieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.de
dc.rights.licenseThis document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.en
dc.identifier.doi10.14760/OWP-2019-09
local.scientificprogramOWLF 2018en_US
local.series.idOWP-2019-09en_US
local.subject.msc16en_US
dc.identifier.urnurn:nbn:de:101:1-2019031115254053309220
dc.identifier.urnurn:nbn:de:101:1-2019042511020472805379
dc.identifier.ppn1663597669
dc.identifier.ppn1656009463


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