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

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.

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Bibliographic Details
Published in:Algebras and representation theory 2023-12, Vol.26 (6), p.3065-3084
Main Author: Ladkani, Sefi
Format: Article
Language:English
Subjects:
Algebra
Associative Rings and Algebras
Commutative Rings and Algebras
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
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Description
Summary: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.
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-022-10169-8