Note on Nakayama automorphisms of PBW deformations and Hopf actions

Abstract

PBW deformations of Artin-Schelter regular algebras are skew Calabi-Yau. We prove that the Nakayama automorphisms of such PBW deformations can be obtained from their homogenizations. Some Calabi-Yau properties are generalized without Koszul assumption. We also show that the Nakayama automorphisms of such PBW deformations control Hopf actions on them.

It has been accepted for publication in SCIENCE CHINA Mathematics

References in corpus (3)

• Skew Calabi-Yau triangulated categories and Frobenius Ext-algebras
• Deformations of Koszul Artin-Schelter Gorenstein algebras
• Nakayama automorphism and applications

Cited by in corpus (3)

• Nakayama automorphisms of Ore extensions over polynomial algebras
• Nakayama automorphisms of graded Ore extensions of Koszul Artin-Schelter regular algebras
• On homological smoothness of generalized Weyl algebras over polynomial algebras in two variables