Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology

Cibils, Claude; Lanzilotta, Marcelo; Marcos, Eduardo; Solotar, Andrea

doi:10.1090/proc/14936

Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
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by Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos and Andrea Solotar PDF

Proc. Amer. Math. Soc. 148 (2020), 2421-2432 Request permission

Abstract:

We describe how the Hochschild (co)homology of a bound quiver algebra changes when deleting or adding arrows to the quiver. The main tools are relative Hochschild (co)homology, the Jacobi-Zariski long exact sequence obtained by A. Kaygun, and a length one relative projective resolution of tensor algebras.

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