Artículos de revistas
On the First Hochschild Cohomology Group of a Cluster-Tilted Algebra
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
Redondo, Maria Julia
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.