Finite-dimensional Algebras are (m> 2)-Calabi-Yau-tilted

Research output: Contribution to journalArticlepeer-review


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 languageEnglish
JournalAlgebras and Representation Theory
StateAccepted/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.


  • Finite-dimensional algebra
  • Ginzburg dg-algebra
  • Higher cluster category
  • m-Calabi-Yau
  • m-cluster-tilting

ASJC Scopus subject areas

  • Mathematics (all)


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