AS-Gorenstein辫子Hopf代数的Nakayama自同构

摘要

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RH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.