Twisted Calabi–Yau property of Ore extensions
Liyu Liu
Fudan University, Shanghai, ChinaShengqiang Wang
Fudan University, Shanghai, ChinaQuanshui Wu
Fudan University, Shanghai, China
Abstract
Suppose that is an Ore extension with an automorphism. It is proved that if is twisted Calabi–Yau of dimension , then is twisted Calabi–Yau of dimension . The relation between their Nakayama automorphisms is also studied. As an application, the Nakayama automorphisms of a class of 5-dimensional Artin–Schelter regular algebras are given explicitly.
Cite this article
Liyu Liu, Shengqiang Wang, Quanshui Wu, Twisted Calabi–Yau property of Ore extensions. J. Noncommut. Geom. 8 (2014), no. 2, pp. 587–609
DOI 10.4171/JNCG/165