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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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