摘要
Poincaré-Birkhoff-Witt(PBW)deformations of Artin-Schelter regular algebras are skew CalabiYau.We prove that the Nakayama automorphisms of such PBW deformations can be obtained from their homogenizations.Some Calabi-Yau properties are generalized without Koszul assumption.We also show that the Nakayama automorphisms of such PBW deformations control Hopf actions on them.
Poincaré-Birkhoff-Witt（PBW）deformations of Artin-Schelter regular algebras are skew CalabiYau.We prove that the Nakayama automorphisms of such PBW deformations can be obtained from their homogenizations.Some Calabi-Yau properties are generalized without Koszul assumption.We also show that the Nakayama automorphisms of such PBW deformations control Hopf actions on them.
基金
supported by National Natural Science Foundation of China(Grant No.11271319)
关键词
变形控制
HOPF
自同构
中山
u性质
Nakayama automorphisms PBW deformations Artin-Schelter regular algebras homogenizations Hopf actions
