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

Sefi Ladkani

doi:10.1007/s10468-022-10169-8

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

Sefi Ladkani

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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
Journal	Algebras and Representation Theory
DOIs	https://doi.org/10.1007/s10468-022-10169-8
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)

Access to Document

10.1007/s10468-022-10169-8

Cite this

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title = "Finite-dimensional Algebras are (m> 2)-Calabi-Yau-tilted",

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.",

keywords = "Finite-dimensional algebra, Ginzburg dg-algebra, Higher cluster category, m-Calabi-Yau, m-cluster-tilting",

author = "Sefi Ladkani",

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N2 - 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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KW - Ginzburg dg-algebra

KW - Higher cluster category

KW - m-Calabi-Yau

KW - m-cluster-tilting

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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