Rota-Baxter q-3-李代数

吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (5): 1066-1072.

Rota-Baxter q-3-李代数

林丽鑫

牡丹江师范学院数学科学学院, 黑龙江牡丹江 157011

收稿日期:2020-01-10 出版日期:2020-09-26 发布日期:2020-11-18
通讯作者: 林丽鑫 E-mail:msysxllx@163.com

Rota-Baxter q-3-Lie Algebras

LIN Lixin

School of Mathematics Science, Mudanjiang Normal University, Mudanjiang 157011, Heilongjiang Province, China

Received:2020-01-10 Online:2020-09-26 Published:2020-11-18

摘要/Abstract

摘要： 定义q-3-李代数的权为λ的Rota-Baxter算子, 给出P为q-3-李代数权为λ的Rota-Baxter算子的充要条件, 并通过Rota-Baxter李代数、 Rota-Baxter结合代数、Rota-Baxter左对称代数和Rota-Baxter群代数等实现了Rota-Baxter q-3-李代数.

关键词: q-3-李代数, Rota-Baxter q-3-李代数, Rota-Baxter算子

Abstract: The author defined the Rota-Baxter operator whose weight was λ for q-3-Lie algebras, and gave the necessary and sufficient condition for P to be Rota-Raxter operator with weight λ of q-3-Lie algebras. They could be derived from Rota-Baxter Lie-algebras, Rota-Baxter q-Lie algebras, Rota-Baxter pre-Lie algebras and Rota-Baxter group algebras.

Key words: q-3-Lie algebra, Rota-Baxter q-3-Lie algebra, Rota-Baxter operator

中图分类号:

O152.5

林丽鑫. Rota-Baxter q-3-李代数[J]. 吉林大学学报(理学版), 2020, 58(5): 1066-1072.

LIN Lixin. Rota-Baxter q-3-Lie Algebras[J]. Journal of Jilin University Science Edition, 2020, 58(5): 1066-1072.