DELETING OR ADDING ARROWS OF A BOUND QUIVER ALGEBRA AND HOCHSCHILD (CO)HOMOLOGY

Author(s)

Cibils, Claude ^[1] ; Lanzilotta, Marcelo ^[2] ; Marcos, Eduardo N. ^[3] ; Solotar, Andrea ^{[4, 5]}

Affiliation

^[1] Univ Montpellier, CNRS, Inst Montpellierain Alexander Grothendieck, Montpellier - France

^[2] Univ Republ, Fac Ingn, Inst Matemat & Estadist Rafael Laguardia, Republica - Uruguay

^[3] Univ Sao Paulo, IME, Dept Matemat, Sao Paulo - Brazil

^[4] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Buenos Aires, DF - Argentina

^[5] Univ Buenos Aires, CONICET, IMAS, Buenos Aires, DF - Argentina

• Document type: Journal article
• Source: Proceedings of the American Mathematical Society; v. 148, n. 6, p. 2421-2432, JUN 2020.
• Web of Science Citations: 0

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. (AU)

• FAPESP's process: 14/09310-5 - Algebraic structures and their representations
• Grantee: Vyacheslav Futorny
• Support Opportunities: Research Projects - Thematic Grants