On the first Hochschild cohomology group of a cluster-tilted algebra
Autor: | Assem, Ibrahim, Redondo, Maria, Schiffler, Ralf |
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Rok vydání: | 2012 |
Předmět: | |
Druh dokumentu: | Working Paper |
Popis: | Given a cluster-tilted algebra B, we study its first Hochschild cohomology group HH^1(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 C is constrained, or else if B is tame, then HH^1(B) is isomorphic, as a k-vector space, to the direct sum of HH^1(C) with k^{n\_{B,C}}, where n\_{B,C} is an invariant linking the bound quivers of B and C. In the representation-finite case, HH^1(B) can be read off simply by looking at the quiver of B. Comment: 30 pages |
Databáze: | arXiv |
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