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

被引：6

作者：

Cibils, Claude ^{[1
]}

Lanzilotta, Marcelo ^{[2
]}

Marcos, Eduardo N. ^{[3
]}

Solotar, Andrea ^{[4
,5
]}

机构：

[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, CONICET, IMAS, Buenos Aires, DF, Argentina

[5] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, Buenos Aires, DF, Argentina

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 148卷 / 06期

基金：

巴西圣保罗研究基金会;

关键词：

Hochschild; cohomology; homology; relative; quiver; arrow; RELATIVE HOMOLOGY; COHOMOLOGY; INVARIANCE;

D O I：

10.1090/proc/14936

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：2421 / 2432

页数：12

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