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 |
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Journal | Algebras and Representation Theory |
DOIs | |
State | Accepted/In press - 2022 |
Bibliographical note
Funding Information:This work was partially supported by the Center for Absorption in Science, Ministry of Aliyah and Immigrant Absorption, State of Israel.
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
- Mathematics (all)