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arxiv: 1408.0536 · v3 · pith:SY5WE23Wnew · submitted 2014-08-03 · 🧮 math.RA · math.CT

Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras

classification 🧮 math.RA math.CT
keywords algebracalabi-yaufrobeniusskewtriangulatedapplicationartin-schelterautomorphism
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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($\mu_A$) = 1 for any noetherian Artin-Schelter regular (hence skew Calabi-Yau) algebra A.

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