Lifting to maximal rigid objects in 2-Calabi-Yau triangulated categories

Xie, Yunli; Liu, Pin

doi:10.1090/S0002-9939-2013-11608-4

Lifting to maximal rigid objects in 2-Calabi-Yau triangulated categories
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by Yunli Xie and Pin Liu

Proc. Amer. Math. Soc. 141 (2013), 3361-3367

DOI: https://doi.org/10.1090/S0002-9939-2013-11608-4

Published electronically: June 17, 2013

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Abstract:

We show that a tilting module over the endomorphism algebra of a maximal rigid object in a 2-Calabi-Yau triangulated category lifts to a maximal rigid object in this 2-Calabi-Yau triangulated category. This strengthens recent work of Fu and Liu for cluster-tilting objects.

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