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PreprintarXiv licencearXiv

The Cartan determinant conjecture for representation-finite Artin algebras

  • Liang Chen
  • Qianqian Guo
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Abstract

We prove that every representation-finite Artin algebra of finite global dimension has integral Cartan determinant one.

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Cite

BibTeXRIS
BibTeX
@misc{chen2026cartan,
  title = {{The Cartan determinant conjecture for representation-finite Artin algebras}},
  author = {Liang Chen and Qianqian Guo},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.14638},
  eprint = {2610.14638},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.14638},
}
RIS
TY  - UNPB
TI  - The Cartan determinant conjecture for representation-finite Artin algebras
AU  - Liang Chen
AU  - Qianqian Guo
PY  - 2026
DA  - 2026/10/18
PB  - arXiv
DO  - 10.48550/arxiv.2610.14638
UR  - https://arxiv.org/abs/2610.14638
AB  - We prove that every representation-finite Artin algebra of finite global dimension has integral Cartan determinant one.
ER  -