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arXiv · 1504.06160

Note on Nakayama automorphisms of PBW deformations and Hopf actions

Y. Shen·D. -M. Lu
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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.

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Y. Shen, D. -M. Lu. 2015-04-23. Note on Nakayama automorphisms of PBW deformations and Hopf actions. https://doi.org/10.1007/s11425-015-5077-2

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