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Happel's question, Han's conjecture and $τ$-Hochschild (co)homology
Document de travail

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

Claude Cibils, Marcelo Lanzilotta, Eduardo Marcos et Andrea Solotar
2025
DOI: https://doi.org/10.48550/arXiv.2509.05135

Résumé

K-Theory and Homology (math.KT) Rings and Algebras (math.RA) Representation Theory (math.RT) FOS: Mathematics 16E40 (Primary) 16G70 16D20 16E30 (Secondary)
We introduce the $τ$-Hochschild (co)homology of a finite dimensional associative algebra $Λ$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global dimension of $Λ$, Happel's question and Han's conjecture are related to the $τ$-Hochschild (co)homology.

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