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

2023/03/24 by Yu, Xiaolan, Wang, Xingting
#16E40 #16E65 #16T05 #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2303.14051

Abstract

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

Related

• Hopf-Galois objects of Calabi-Yau Hopf algebras
• Calabi-Yau algebras
• The Hopf algebra structure of GL(1,H_q) and the isomorphism between SP_q(1) and SU_q(2)
• Kac-Paljutkin Quantum Group as a Quantum Subgroup of the Quantum SU(2)
• Lectures on Hopf Algebras, Quantum Groups and Twists