FREE MODIFIED ROTA-BAXTER ALGEBRAS AND HOPF ALGEBRAS

被引：3
|
作者：
Zhang, Xigou [1 ]
Gao, Xing [2 ]
Guo, Li [3 ]
机构：
[1] Jiangxi Normal Univ, Coll Math & Informat Sci, Nanchang 330022, Jiangxi, Peoples R China
[2] Lanzhou Univ, Key Lab Appl Math & Complex Syst, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China
[3] Rutgers Univ Newark, Dept Math & Comp Sci, Newark, NJ 07102 USA
来源：
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA | 2019年 / 25卷
基金：
中国国家自然科学基金;
关键词：
Modified Rota-Baxter algebra; Rota-Baxter algebra; Hopf algebra; bracketed word; cocycle; ASSOCIATIVE ALGEBRAS; O-OPERATORS; RENORMALIZATION;
D O I：
10.24330/ieja.504101
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notion of a modified Rota-Baxter algebra comes from the combination of those of a Rota-Baxter algebra and a modified Yang-Baxter equation. In this paper, we first construct free modified Rota-Baxter algebras. We then equip a free modified Rota-Baxter algebra with a bialgebra structure by a cocycle construction. Under the assumption that the generating algebra is a connected bialgebra, we further equip the free modified Rota-Baxter algebra with a Hopf algebra structure.
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页码：12 / 34
页数：23
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