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On the representation type of higher preprojective algebras of type A

  • Weikang Weng
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Abstract

In this paper, we establish a finite--tame--wild trichotomy for the representation type of (n+1)-preprojective algebras of type Am. We also provide a complete classification of such algebras with respect to τ-tilting finiteness. Moreover, for n≥ 2, we give a precise characterization of when each indecomposable module is τ-rigid.

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Cite

BibTeXRIS
BibTeX
@misc{weng2026representation,
  title = {{On the representation type of higher preprojective algebras of type $A$}},
  author = {Weikang Weng},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02597},
  eprint = {2609.02597},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02597},
}
RIS
TY  - UNPB
TI  - On the representation type of higher preprojective algebras of type A
AU  - Weikang Weng
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02597
UR  - https://arxiv.org/abs/2609.02597
AB  - In this paper, we establish a finite--tame--wild trichotomy for the representation type of (n+1)-preprojective algebras of type A_m. We also provide a complete classification of such algebras with respect to τ-tilting finiteness. Moreover, for n≥ 2, we give a precise characterization of when each indecomposable module is τ-rigid.
ER  -