JournalsjncgVol. 8, No. 2pp. 587–609

Twisted Calabi–Yau property of Ore extensions

  • Liyu Liu

    Fudan University, Shanghai, China
  • Shengqiang Wang

    Fudan University, Shanghai, China
  • Quanshui Wu

    Fudan University, Shanghai, China
Twisted Calabi–Yau property of Ore extensions cover
Download PDF

Abstract

Suppose that E=A[x;σ,δ]E=A[x;\sigma,\delta] is an Ore extension with σ\sigma an automorphism. It is proved that if AA is twisted Calabi–Yau of dimension dd, then EE is twisted Calabi–Yau of dimension d+1d+1. 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