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

Jun Zhao; Liangyun Chen; Lamei Yuan

doi:10.1007/s11464-021-0965-y

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

Jun Zhao
, Liangyun Chen^*
, Lamei Yuan

^*Corresponding author for this work

School of Mathematics

Northeast Normal University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	1157-1167
Number of pages	11
Journal	Frontiers of Mathematics in China
Volume	17
Issue number	6
DOIs	https://doi.org/10.1007/s11464-021-0965-y
State	Published - Dec 2022

Keywords

16S70
17A42
17B10
17B56
17B70
Lie conformal algebras
Virasoro Lie conformal algebra
conformal biderivations
loop Virasoro Lie conformal algebra
loop W(a, b) Lie conformal algebra

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10.1007/s11464-021-0965-y

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

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 = "16S70, 17A42, 17B10, 17B56, 17B70, Lie conformal algebras, Virasoro Lie conformal algebra, conformal biderivations, loop Virasoro Lie conformal algebra, loop W(a, b) Lie conformal algebra",

author = "Jun Zhao and Liangyun Chen and Lamei Yuan",

note = "Publisher Copyright: {\textcopyright} 2021, Higher Education Press.",

year = "2022",

month = dec,

doi = "10.1007/s11464-021-0965-y",

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T1 - Conformal biderivations of loop W(a, b) Lie conformal algebra

AU - Zhao, Jun

AU - Chen, Liangyun

AU - Yuan, Lamei

PY - 2022/12

Y1 - 2022/12

N2 - 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.

AB - 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.

KW - 16S70

KW - 17A42

KW - 17B10

KW - 17B56

KW - 17B70

KW - Lie conformal algebras

KW - Virasoro Lie conformal algebra

KW - conformal biderivations

KW - loop Virasoro Lie conformal algebra

KW - loop W(a, b) Lie conformal algebra

UR - https://www.scopus.com/pages/publications/85112763849

U2 - 10.1007/s11464-021-0965-y

DO - 10.1007/s11464-021-0965-y

M3 - 文章

AN - SCOPUS:85112763849

SN - 1673-3452

VL - 17

SP - 1157

EP - 1167

JO - Frontiers of Mathematics in China

JF - Frontiers of Mathematics in China

IS - 6

ER -

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

Abstract

Keywords

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