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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
Quiver down-up algebras of type A
Jason Gaddis, Dennis Keeler
We present a generalization of down-up algebras, originally defined by Benkart and Roby. These quiver down-up algebras arise as quotients of the double of the extended Dynkin quive…