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math.RT2010★ 8 cited
Cluster algebras arising from cluster tubes
Yu Zhou, Bin Zhu
We study the cluster algebras arising from cluster tubes with rank bigger than . Cluster tubes are Calabi-Yau triangulated categories which contain no cluster tilting object…
math.RT2010★ 6 cited
Maximal rigid subcategories in 2-Calabi-Yau triangulated categories
Yu Zhou, Bin Zhu
We study the maximal rigid subcategories in CY triangulated categories and their endomorphism algebras. Cluster tilting subcategories are obviously maximal rigid; we prove that…