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

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

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