Conformal biderivations of loop <i>W</i> (<i>a, b</i>) Lie conformal algebra

doi:10.1007/s11464-021-0965-y

Front. Math. China

2022, Vol. 17

Issue (6) : 1157-1167 https://doi.org/10.1007/s11464-021-0965-y

RESEARCH ARTICLE

Conformal biderivations of loop W (a, b) Lie conformal algebra

Jun ZHAO¹, Liangyun CHEN¹(

), Lamei YUAN²

¹. School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
². Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

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Abstract

We study conformal biderivations of a Lie conformal algebra. First, we give the definition of a conformal biderivation. Next, we determine the conformal biderivations of loop W(a, b) Lie conformal algebra, loop Virasoro Lie conformal algebra, and Virasoro Lie conformal algebra. Especially, all conformal biderivations on Virasoro Lie conformal algebra are inner conformal biderivations.

Keywords Lie conformal algebras conformal biderivations Virasoro Lie conformal algebra loop Virasoro Lie conformal algebra loop W(a,b) Lie conformal algebra

Corresponding Author(s): Liangyun CHEN

Issue Date: 04 January 2023

Cite this article:

Jun ZHAO,Liangyun CHEN,Lamei YUAN. Conformal biderivations of loop W (a, b) Lie conformal algebra[J]. Front. Math. China, 2022, 17(6): 1157-1167.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-021-0965-y
https://academic.hep.com.cn/fmc/EN/Y2022/V17/I6/1157

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