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

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 c...

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Veröffentlicht in:Frontiers of Mathematics 2022, Vol.17 (6), p.1157-1167
Hauptverfasser: Zhao, Jun, Chen, Liangyun, Yuan, Lamei
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2731-8648
1673-3452
2731-8656
1673-3576
DOI:10.1007/s11464-021-0965-y