Abstract
We observe that over an algebraically closed field, any finite-dimensional algebra is the endomorphism algebra of an m-cluster-tilting object in a triangulated m-Calabi-Yau category, where m is any integer greater than 2.
| Original language | English |
|---|---|
| Pages (from-to) | 3065-3084 |
| Number of pages | 20 |
| Journal | Algebras and Representation Theory |
| Volume | 26 |
| Issue number | 6 |
| DOIs | |
| State | Published - Dec 2023 |
Bibliographical note
Publisher Copyright:© 2022, The Author(s), under exclusive licence to Springer Nature B.V.
Keywords
- Finite-dimensional algebra
- Ginzburg dg-algebra
- Higher cluster category
- m-Calabi-Yau
- m-cluster-tilting
ASJC Scopus subject areas
- General Mathematics