On Indecomposable Exceptional Modules Over Gentle Algebras

Jie Zhang

doi:10.1080/00927872.2013.781369

On Indecomposable Exceptional Modules Over Gentle Algebras

Jie Zhang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

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 self-intersections, as exceptional modules, are uniquely determined by their dimension vectors.

Original language	English
Pages (from-to)	3096-3119
Number of pages	24
Journal	Communications in Algebra
Volume	42
Issue number	7
DOIs	https://doi.org/10.1080/00927872.2013.781369
Publication status	Published - Jul 2014

Keywords

Exceptional modules
Gentle algebras
Representations

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10.1080/00927872.2013.781369

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Zhang, J. (2014). On Indecomposable Exceptional Modules Over Gentle Algebras. Communications in Algebra, 42(7), 3096-3119. https://doi.org/10.1080/00927872.2013.781369

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On Indecomposable Exceptional Modules Over Gentle Algebras

Abstract

Keywords

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