From Quantum Quasi-Shuffle Algebras to Braided Rota-Baxter Algebras

被引：5

作者：

Jian, Run-Qiang ^{[1
]}

机构：

[1] Dongguan Univ Technol, Sch Comp Sci, Songshan Lake 523808, Dongguan, Peoples R China

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2013年 / 103卷 / 08期

基金：

中国国家自然科学基金;

关键词：

quantum quasi-shuffle algebra; Rota-Baxter algebra; tridendriform algebra; braided Rota-Baxter algebra; quantum multi-brace algebra; FIELD THEORY; HOPF-ALGEBRAS; RENORMALIZATION; PRODUCTS;

D O I：

10.1007/s11005-013-0619-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this letter, we use quantum quasi-shuffle algebras to construct Rota-Baxter algebras, as well as tridendriform algebras. We also propose the notion of braided Rota-Baxter algebras, the relevant object of Rota-Baxter algebras in a braided tensor category. Examples of such new algebras are provided using quantum multi-brace algebras in a category of Yetter-Drinfeld modules.

引用

页码：851 / 863

页数：13

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