Skew Calabi-Yau triangulated categories and frobenius ext-algebras
- Author(s): Reyes, M
- Rogalski, D
- Zhang, JJ
- et al.
Published Web Locationhttps://arxiv.org/abs/1408.0536
We investigate conditions that are sufficient to make the Extalgebra of an object in a (triangulated) category into a Frobenius algebra, and compute the corresponding Nakayama automorphism. As an application, we prove the conjecture that hdet(μA) = 1 for any noetherian Artin-Schelter regular (hence skew Calabi-Yau) algebra A.