The Cartan determinant conjecture for representation-finite algebras
- Published
- Source
- arXiv
- Paper number
- 1002
- Field
- Research
- arXiv ID
- 2608.23132
Key points
- It proved that a representation-finite algebra with finite global dimension has Cartan determinant exactly 1.
- It combined existing results through a concise argument linking the standardness theorem with path-length grading in the mesh category.
- The same argument also yielded an extension theorem in the form End(M) (Theorem B).
- The paper's Use of AI section explicitly states that AI was involved in discovering the proof and drafting the manuscript.
- The author wrote that the proof relies on the structure theory of representation-finite algebras and that they do not know whether a proof exists without using that theory.
Paper links
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