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Skew Calabi-Yau triangulated categories and frobenius ext-algebras

  • Author(s): Reyes, M
  • Rogalski, D
  • Zhang, JJ
  • et al.

Published Web Location

https://arxiv.org/abs/1408.0536
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Abstract

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.

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