Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2017.12.19
  • Accepted : 2018.03.15
  • Published : 2018.03.30
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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.

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References

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