English

Twisted Calabi-Yau property of Ore extensions

Quantum Algebra 2012-05-07 v1 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1205.0893,
  title  = {Twisted Calabi-Yau property of Ore extensions},
  author = {L. -Y. Liu and S. -Q. Wang and Q. -S. Wu},
  journal= {arXiv preprint arXiv:1205.0893},
  year   = {2012}
}