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math.RA2026
Normal extensions of twisted graded Calabi--Yau algebras
Jason Gaddis, Dennis Keeler
We discuss three families of twisted graded Calabi--Yau algebras of dimension three that arise through the process of normal extensions. In addition to the twisted Calabi--Yau cond…
math.RA2026
Twisted generalized Weyl Poisson algebras of type
Jason Gaddis
We introduce a generalization of generalized Weyl Poisson algebras. This is a Poisson analogue of the twisted generalized Weyl algebras defined by Mazorchuk and Turowska. We prove…