A non-simply laced version for cluster structures on 2-Calabi-Yau categories

Abstract

This paper investigates a non simply-laced version of cluster structures for 2-Calabi-Yau or stably 2-Calabi-Yau categories over arbitrary fields. It results that 2-Calabi-Yau or stably 2-Calabi-Yau categories having a cluster tilting subcategory with neither loops nor 2-cycles do have the generalized version of cluster structure. This is in particular the case of cluster categories over non-algebraically closed fields.

Beamer version. Journal of Pure and Applied Algebra, Available online 1 December 2013 http://dx.doi.org/10.1016/j.jpaa.2013.11.027

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• On triangulated orbit categories
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Cited by in corpus (1)

• Potentials and Jacobian algebras for tensor algebras of bimodules