Hom-ω-smash 余积Hopf 代数上的辫化结构

数学物理学报 ›› 2013, Vol. 33 ›› Issue (6): 1068-1088.

Hom-ω-smash 余积Hopf 代数上的辫化结构

郑乃峰

宁波大学理学院浙江宁波 |315211

收稿日期:2012-06-04 修回日期:2013-05-09 出版日期:2013-12-25 发布日期:2013-12-25
基金资助:
国家自然科学基金(60873267)和宁波市自然科学基金(2011A610172)资助

The Braided Structures Over Hom-ω-smash Coproduct Hopf Algebras

ZHENG Nai-Feng

College of Science, Ningbo University, Zhejiang Ningbo |315211

Received:2012-06-04 Revised:2013-05-09 Online:2013-12-25 Published:2013-12-25
Supported by:
国家自然科学基金(60873267)和宁波市自然科学基金(2011A610172)资助

摘要/Abstract

摘要：

设(C, α) 和(H, β)是Hom -双代数, ω: C\otimes H→ H\otimes C是一个线性映射, 该文定义了Hom-ω-smash 余积(C_ω\bowtie H, γ) 并给出了它是 Hom -双代数的充要条件. 然后研究了(C_ω\bowtie H, γ) 上的辫化结构并给出它是辫化Hom-Hopf 代数的充要条件.

关键词: Hom-Hopf 代数, 辫化Hom-Hopf 代数, Hom-ω-smash 余积

Abstract:

Let (C, α) and (H, β) be Hom-bialgebras and ω: C\otimes H→H\otimes C a linear map. We introduce the concept of a Hom-ω-smash coproduct (Cω\bowtie H, γ) along with necessary and sufficient conditions for the new object to be a Hom-bialgebra. We study the braided structures over (C_ω\bowtie H, γ) and we demonstrate the necessary and sufficient conditions for (C_ω\bowtie H, γ, R) to be a braided Hom-Hopf algebra.

Key words: Hom-Hopf algebra, Braided Hom-Hopf algebra, Hom-ω-smash coproduct

中图分类号:

16W30

郑乃峰. Hom-ω-smash 余积Hopf 代数上的辫化结构[J]. 数学物理学报, 2013, 33(6): 1068-1088.

ZHENG Nai-Feng. The Braided Structures Over Hom-ω-smash Coproduct Hopf Algebras[J]. Acta mathematica scientia,Series A, 2013, 33(6): 1068-1088.

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