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arXiv · 2607.24942

Rigidity of higher Auslander algebras of type $\mathbb{A}$

Sibylle Schroll·Andrea Solotar·Can Wen
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Abstract

We show that the Hochschild cohomology of higher Auslander algebras of type $\mathbb{A}$ vanishes in all positive degrees and is one-dimensional in degree zero. As a consequence, these algebras are rigid and intrinsically formal.

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BibTeXRIS

Sibylle Schroll, Andrea Solotar, Can Wen. 2026-07-27. Rigidity of higher Auslander algebras of type $\mathbb{A}$. https://arxiv.org/abs/2607.24942

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