On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra

dc.creatorAssem, Ibrahim
dc.creatorRedondo, Maria Julia
dc.creatorSchiffler, Ralf
dc.date.accessioned2017-01-24T21:00:01Z
dc.date.accessioned2018-11-06T12:58:58Z
dc.date.available2017-01-24T21:00:01Z
dc.date.available2018-11-06T12:58:58Z
dc.date.created2017-01-24T21:00:01Z
dc.date.issued2015-12
dc.identifierAssem, Ibrahim; Redondo, Maria Julia; Schiffler, Ralf; On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra; Springer; Algebras And Representation Theory; 18; 6; 12-2015; 1547-1576
dc.identifier1386-923X
dc.identifierhttp://hdl.handle.net/11336/11872
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1871860
dc.description.abstractGiven a cluster-tilted algebra B, we study its first Hochschild cohomology group HH1(B) with coefficients in the B-B-bimodule B. If C is a tilted algebra such that B is the relation-extension of C, then we show that if B is tame, then HH1(B) is isomorphic, as a kvector space, to the direct sum of HH1(C) with knB,C , where nB,C is an invariant linking the bound quivers of B and C. In the representation-finite case, HH1(B) can be read off simply by looking at the quiver of B.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10468-015-9551-x
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10468-015-9551-x
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectCLUSTER-TILDED ALGEBRA
dc.subjectHOCHSCHILD COHOMOLOGY
dc.titleOn the First Hochschild Cohomology Group of a Cluster-Tilted Algebra
dc.typeArtículos de revistas
dc.typeArtículos de revistas
dc.typeArtículos de revistas


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