Happel's question, Han's conjecture and $\tau$-Hochschild (co)homology

Andrea Solotar; Claude Cibils; Eduardo N. Marcos; Marcelo Lanzilotta

arxiv: 2509.05135 · v2 · pith:KTG4VLINnew · submitted 2025-09-05 · 🧮 math.KT · math.RA· math.RT

Happel's question, Han's conjecture and τ-Hochschild (co)homology

Claude Cibils , Marcelo Lanzilotta , Eduardo N. Marcos , Andrea Solotar This is my paper

classification 🧮 math.KT math.RAmath.RT

keywords hochschildhomologyconjecturehappellambdaquestionalgebraassociative

0 comments

read the original abstract

We introduce the $\tau$-Hochschild (co)homology of a finite dimensional associative algebra $\Lambda$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global dimension of $\Lambda$, Happel's question and Han's conjecture are related to the $\tau$-Hochschild (co)homology.

This paper has not been read by Pith yet.

Happel's question, Han's conjecture and τ-Hochschild (co)homology

discussion (0)