A non-simply laced version for cluster structures on 2-Calabi-Yau categories
Representation Theory
2013-12-09 v2 Category Theory
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.
Cite
@article{arxiv.0910.5077,
title = {A non-simply laced version for cluster structures on 2-Calabi-Yau categories},
author = {Bertrand Nguefack},
journal= {arXiv preprint arXiv:0910.5077},
year = {2013}
}
Comments
Beamer version. Journal of Pure and Applied Algebra, Available online 1 December 2013 http://dx.doi.org/10.1016/j.jpaa.2013.11.027