English

Calabi-Yau property of Quantum Groups of $GL(2)$ Representation Type

Quantum Algebra 2023-03-27 v1

Abstract

In this paper, we prove that the quantum groups G(A,B)G(A,B) introduced by Mrozinski and their Hopf-Galois objects are twisted Calabi-Yau algebras, and give their Nakayama automorphisms explicitly.

Keywords

Cite

@article{arxiv.2303.14051,
  title  = {Calabi-Yau property of Quantum Groups of $GL(2)$ Representation Type},
  author = {Xiaolan Yu and Xingting Wang},
  journal= {arXiv preprint arXiv:2303.14051},
  year   = {2023}
}

Comments

to appear in J. Algebra its Appl