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

University of Haifa

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	American English
Pages (from-to)	3065-3084
Number of pages	20
Journal	Algebras and Representation Theory
Volume	26
Issue number	6
DOIs	https://doi.org/10.1007/s10468-022-10169-8
State	Published - Dec 2023

Keywords

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

All Science Journal Classification (ASJC) codes

General Mathematics

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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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year = "2023",

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doi = "10.1007/s10468-022-10169-8",

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AB - 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.

KW - Finite-dimensional algebra

KW - Ginzburg dg-algebra

KW - Higher cluster category

KW - m-Calabi-Yau

KW - m-cluster-tilting

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DO - 10.1007/s10468-022-10169-8

M3 - Article

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JO - Algebras and Representation Theory

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IS - 6

ER -

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

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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