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Calabi–Yau property of quantum groups of GL(2) representation type
Preview AbstractIn this paper, we prove that the quantum groups 𝒢(A,B) introduced by Mrozinski in [C. Mrozinski, Quantum groups of GL(2) 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.