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arXiv · 2509.05135

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

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

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Claude Cibils, Marcelo Lanzilotta, Eduardo N. Marcos, Andrea Solotar. 2025-09-05. Happel's question, Han's conjecture and $\tau$-Hochschild (co)homology. https://arxiv.org/abs/2509.05135

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