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arXiv · 1209.2788

On indecomposable exceptional modules over gentle algebras

Jie Zhang
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Abstract

We give a characterization of indecomposable exceptional modules over finite dimensional gentle algebras. As an application, we study gentle algebras arising from an unpunctured surface and show that a class of indecomposable modules related to curves without selfintersections, as exceptional modules, are uniquely determined by their dimension vectors.

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Jie Zhang. 2012-09-19. On indecomposable exceptional modules over gentle algebras. https://arxiv.org/abs/1209.2788

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