PreprintarXiv licencearXiv
Representation type of contraction algebras
Abstract
We classify the representation-finite, tame, and wild contraction algebras arising from 3-fold flopping contractions of isolated cDV singularities with at worst Gorenstein terminal sources. To achieve this, we first determine the representation type of all contracted preprojective algebras of Dynkin types A, D, and E, and then use the representation type invariance under iterated flops and the radical structure of contraction algebras.
Related
- On computing deformations of contraction algebras of type E
- On the representation type of higher preprojective algebras of type A
- Composition factor algebras and finite representation type
- Representation Type and Schurian Finiteness of Tits Algebras
- Contraction Algebras, Cyclotomic Forms, and Reflection Rigidity
BibTeX
@misc{wang2026representation,
title = {{Representation type of contraction algebras}},
author = {Qi Wang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33673},
eprint = {2610.33673},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33673},
}
RIS
TY - UNPB
TI - Representation type of contraction algebras
AU - Qi Wang
PY - 2026
DA - 2026/10/24
PB - arXiv
DO - 10.48550/arxiv.2610.33673
UR - https://arxiv.org/abs/2610.33673
AB - We classify the representation-finite, tame, and wild contraction algebras arising from 3-fold flopping contractions of isolated cDV singularities with at worst Gorenstein terminal sources. To achieve this, we first determine the representation type of all contracted preprojective algebras of Dynkin types A, D, and E, and then use the representation type invariance under iterated flops and the radical structure of contraction algebras.
ER -