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

Claude Cibils; Marcelo Lanzilotta; Eduardo Marcos; Andrea Solotar

doi:10.1090/proc/14936

Back

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

Journal article

Open access

Peer reviewed

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

Claude Cibils, Marcelo Lanzilotta, Eduardo Marcos and Andrea Solotar

Proceedings of the American Mathematical Society, Vol.148(6), pp.2421-2432

01/06/2020

DOI: https://doi.org/10.1090/proc/14936

Abstract

MSC : 18G25, 18H15, 16E40, 16A61, 16E30, 18H15, 18G15

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

Files and links (2)

url

Find in HALView

url

https://doi.org/10.1090/proc/14936View

Published (Version of record) Open

Metrics

1 Record Views

Details

Title: Deleting or adding arrows of a bound quiver algebra and Hochschild (co)homology
Creators - without role: Claude Cibils - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Marcelo Lanzilotta - Universidad de la República
Eduardo Marcos - Universidade de São Paulo
Andrea Solotar - University of Buenos Aires
Publication Details: Proceedings of the American Mathematical Society, Vol.148(6), pp.2421-2432
Identifiers: 9945580209311
Academic Unit: Institut Montpelliérain Alexander Grothendieck - IMAG
Language: English
Resource Type: Journal article
Local Fields: hal-03546756