Torsion pairs in a triangulated category generated by a spherical object

Coelho Simoes, Raquel and Pauksztello, David (2016) Torsion pairs in a triangulated category generated by a spherical object. Journal of Algebra, 448. pp. 1-47. ISSN 0021-8693

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Abstract

We extend Ng's characterisation of torsion pairs in the 2-Calabi–Yau triangulated category generated by a 2-spherical object to the characterisation of torsion pairs in the w-Calabi–Yau triangulated category, Tw, generated by a w-spherical object for any w∈Z. Inspired by the combinatorics of Tw for w⩽−1, we also characterise the torsion pairs in certain negative Calabi–Yau orbit categories of the bounded derived category of the path algebra of Dynkin type A.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Algebra
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2602
Subjects:
ID Code:
88006
Deposited By:
Deposited On:
06 Oct 2017 19:37
Refereed?:
Yes
Published?:
Published
Last Modified:
18 Sep 2020 03:44