A geometric model for the module category of a gentle algebra

Baur, Karin and Coelho Guardado Simoes, Raquel (2019) A geometric model for the module category of a gentle algebra. International Mathematics Research Notices. ISSN 1073-7928

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Abstract

In this article, gentle algebras are realised as tiling algebras, which are associated to partial triangulations of unpunctured surfaces with marked points on the boundary. This notion of tiling algebras generalise the notion of Jacobian algebras of triangulations of surfaces and the notion of surface algebras. We use this description to give a geometric model of the module category of any gentle algebra.

Item Type:
Journal Article
Journal or Publication Title:
International Mathematics Research Notices
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600
Subjects:
ID Code:
142016
Deposited By:
Deposited On:
03 Mar 2020 09:20
Refereed?:
Yes
Published?:
Published
Last Modified:
23 Jul 2020 15:50