一类H-伪代数的构造（英文）

发布时间：2018-05-20 16:53

本文选题：余交换Hopf代数 + H-伪代数　；参考：《Journal of Southeast University(English Edition)》2017年04期

【摘要】：设H是一个余交换的Hopf代数.首先,通过把H在其自身上的正则作用(即左乘作用)替换成伴随作用,从而引入一类新的H-伪代数,称为H-伪代数.其次,设(H,R)是一个拟三角Hopf代数,通过把上述得到的一类新的H-伪代数,即H-伪代数,推广到拟三角Hopf代数(H,R)上,构造了一类(H,R)-伪代数.并且,由一般代数及(H,R)-伪代数的张量积给出了(H,R)-伪代数的构造.最后,给出了(H,R)-伪代数的一些例子,以及Hopf代数成为(H,R)-伪代数(或者H-伪代数)的条件.
[Abstract]:Let H be a cocommutative Hopf algebra. Firstly, by replacing the regular action of H on itself with the adjoint action, a new class of H-pseudo algebras is introduced, which is called H-pseudo algebras. Secondly, let Hopf algebra be a quasi trigonometric Hopf algebra. By extending the new class of H pseudo algebras, that is, H pseudo algebras, to the quasi trigonometric Hopf algebras, we construct a class of Hopf pseudo algebras. In addition, the construction of the Hnr-pseudo-algebras is given from the tensor products of the general algebras and the H ~ (+) R ~ (+) -pseudo algebras. Finally, some examples of Hopf algebras are given, and the conditions under which Hopf algebras become Hnr-pseudo-algebras (or H-pseudo-algebras) are given.
【作者单位】：东南大学数学学院;
【基金】：The National Natural Science Foundation of China(No.11371088) the Natural Science Foundation of Jiangsu Province(No.BK20171348)
【分类号】：O153.3

【相似文献】