Artículo
On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra
Fecha de publicación:
12/2015
Editorial:
Springer
Revista:
Algebras And Representation Theory
ISSN:
1386-923X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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.
Palabras clave:
Cluster-Tilded Algebra
,
Hochschild Cohomology
Archivos asociados
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Identificadores
Colecciones
Articulos(INMABB)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Articulos de INST.DE MATEMATICA BAHIA BLANCA (I)
Citación
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
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