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dc.contributor.author
Assem, Ibrahim
dc.contributor.author
Redondo, Maria Julia
dc.contributor.author
Schiffler, Ralf
dc.date.available
2017-01-24T21:00:01Z
dc.date.issued
2015-12
dc.identifier.citation
Assem, 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.identifier.issn
1386-923X
dc.identifier.uri
http://hdl.handle.net/11336/11872
dc.description.abstract
Given 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.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Cluster-Tilded Algebra
dc.subject
Hochschild Cohomology
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-01-24T18:31:57Z
dc.journal.volume
18
dc.journal.number
6
dc.journal.pagination
1547-1576
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Assem, Ibrahim. University Of Sherbrooke; Canadá
dc.description.fil
Fil: Redondo, Maria Julia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Bahía Blanca. Instituto de Matemática Bahía Blanca (i); Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
dc.description.fil
Fil: Schiffler, Ralf. University Of Sherbrooke; Canadá
dc.journal.title
Algebras And Representation Theory
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007%2Fs10468-015-9551-x
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10468-015-9551-x
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