Calabi–Yau property of quantum groups of GL(2) representation type

Abstract

In this paper, we prove that the quantum groups [Formula: see text] introduced by Mrozinski in [C. Mrozinski, Quantum groups of [Formula: see text] representation type, J. Noncommut. Geom. 8(1) (2014) 107–140] and their Hopf–Galois objects are twisted Calabi–Yau algebras, and give their Nakayama automorphisms explicitly.

Document Details

Document Type
Pub Defense Publication
Publication Date
Feb 20, 2023
Source ID
10.1142/s0219498824501044

Entities

People

  • Xiaolan Yu
  • Xingting Wang

Organizations

  • Air Force Office of Scientific Research
  • Hangzhou Normal University
  • Howard University
  • National Natural Science Foundation of China

Tags

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Mathematical Modeling and Probability Theory.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Quantum Computing