[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2018.26.1.53

ROTA-BAXTER OPERATORS OF 3-DIMENSIONAL HEISENBERG LIE ALGEBRA

Ji, Guangzhi (College of Science Harbin University of Science and Technology)
Hua, Xiuying (College of Science Harbin University of Science and Technology)

Publication Information

Korean Journal of Mathematics / v.26, no.1, 2018 , pp. 53-60 More about this Journal

Abstract

In this paper, we consider the question of the Rota-Baxter operators of 3-dimensional Heisenberg Lie algebra on ${\mathbb{F}}$ , where ${\mathbb{F}}$ is an algebraic closed field. By using the Lie product of the basis elements of Heisenberg Lie algebras, all Rota-Baxter operators of 3-dimensional Heisenberg Lie algebras are calculated and left symmetric algebras of 3-dimensional Heisenberg Lie algebra are determined by using the Yang-Baxter operators.

Keywords

Rota-Baxter operators; Heisenberg Lie algebra; Yang-Baxter operators;

Citations & Related Records

Reference

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