Graded 3-Calabi-Yau algebras as Ore extensions of 2-Calabi-Yau algebras

Abstract

We study a class of graded algebras obtained from Ore extensions of graded Calabi-Yau algebras of dimension 2. It is proved that these algebras are graded Calabi-Yau and graded coherent. The superpotentials associated to these graded Calabi-Yau algebras are also constructed.

References in corpus (3)

• Calabi-Yau algebras
• Deformations of Koszul Artin-Schelter Gorenstein algebras
• A 3-Calabi-Yau algebra with G_2 symmetry constructed from the octonions

Cited by in corpus (1)

• Coherence of relatively quasi-free algebras