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arXiv · 1408.0536

Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras

Manuel Reyes·Daniel Rogalski·James J. Zhang
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Abstract

We investigate the conditions that are sufficient to make the Ext-algebra 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($μ_A$) = 1 for any noetherian Artin-Schelter regular (hence skew Calabi-Yau) algebra A.

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Manuel Reyes, Daniel Rogalski, James J. Zhang. 2016-10-17. Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras. https://doi.org/10.1090/tran%2F6640

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