Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2020

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

Résumé

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.

Dates et versions

hal-02088098 , version 1 (02-04-2019)

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Claude Cibils, Marcelo Lanzilotta, Eduardo Marcos, Andrea Solotar. Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology. Proceedings of the American Mathematical Society, 2020, 148 (6), pp.2421-2432. ⟨10.1090/proc/14936⟩. ⟨hal-02088098⟩
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