Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3

Nonstandard additively finite triangulated categories of Calabi-Yau dimension one in characteristic 3

We prove that there exist nonstandard \(K\)-linear triangulated categories with finitely many indecomposable objects and Calabi-Yau dimension one over an arbitrary algebraically closed field \(K\) of characteristic \(3\), using deformed preprojective algebras of generalized Dynkin type.

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Bibliographic Details
Date:2018
Main Authors: Bialkowski, Jerzy, Skowronski, Andrzej
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
triangulated category
Calabi-Yau category
preprojective algebra
16D50
16G60
18G10
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/855
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Journal Title:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics

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