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arXiv · 0910.5077

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

Bertrand Nguefack
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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.

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BibTeXRIS

Bertrand Nguefack. 2009-10-27. A non-simply laced version for cluster structures on 2-Calabi-Yau categories. https://doi.org/10.1016/j.jpaa.2013.11.027

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