The Calabi–Yau property of Ore extensions of two-dimensional Artin–Schelter regular algebras and their PBW deformations
Let $A$ be a noncommutative Artin–Schelter regular algebra of dimension $2$ with the Nakayama automorphism $\mu _A$ and $U$ a PBW deformation of $A$ with the Nakayama automorphism $\mu _U$. We prove that any graded Ore extension $A[z;\mu _A,\delta ]$ and any filtered Ore extension $U[z;\mu _U,\tilde...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Académie des sciences
2022-06-01
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| Series: | Comptes Rendus. Mathématique |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.268/ |