Nakayama automorphisms of PBW deformations and Hopf actions  

作　　者：SHEN Yuan LU DiMing 

机构地区：[1]Department of Mathematics,Zhejiang University

出　　处：《Science China Mathematics》2016年第4期661-672,共12页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China(Grant No.11271319)

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.

关 键 词：Nakayama automorphisms PBW deformations Artin-Schelter regular algebras homogenizations Hopf actions 

分 类 号：O15[理学—数学]