Note on Nakayama automorphisms of PBW deformations and Hopf actions
Rings and Algebras
2016-04-20 v1
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.
Keywords
Cite
@article{arxiv.1504.06160,
title = {Note on Nakayama automorphisms of PBW deformations and Hopf actions},
author = {Y. Shen and D. -M. Lu},
journal= {arXiv preprint arXiv:1504.06160},
year = {2016}
}
Comments
It has been accepted for publication in SCIENCE CHINA Mathematics