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

Sibylle Schroll; Andrea Solotar; Can Wen

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

Representation Theory 2026-07-27 v1

Authors: Sibylle Schroll , Andrea Solotar , Can Wen

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.

Keywords

higher auslander algebras type a hochschild cohomology rigidity intrinsic formality

Cite

@article{arxiv.2607.24942,
  title  = {Rigidity of higher Auslander algebras of type $\mathbb{A}$},
  author = {Sibylle Schroll and Andrea Solotar and Can Wen},
  journal= {arXiv preprint arXiv:2607.24942},
  year   = {2026}
}

Comments

8 pages