AS-Gorenstein辫子Hopf代数的Nakayama自同构

The Nakayama Automorphisms of AS-Gorenstein Braided Hopf Algebras

假设代数R是一个AS-Gorenstein代数,同时R是H上的Yetter-Drinfeld模范畴中的一个分次辫子Hopf代数,其中H是一个有限维Hopf代数.通过比较代数R H和R的Nakayama自同构之间的关系,文章具体刻画了代数R的Nakayama自同构.

Let R be an AS-Gorenstein algebra ,which is also a graded braided Hopf algebra in the category of Yetter-Drinfeld modules over H, where H is a finite dimensional Hopf algebra .By comparing the Nakayama automorphisms of RH and R ,the paper discribes the Nakayama automorphism of R explicitly.