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Conformal Super-Biderivations on Lie Conformal Superalgebras

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In this paper, the conformal super-biderivations of two classes of Lie conformal superalgebras are studied. By proving some general results on conformal super-biderivations, we determine the conformal super-biderivations of the loop super-Virasoro Lie conformal superalgebra and Neveu–Schwarz Lie conformal superalgebra. Especially, any conformal super-biderivation of the Neveu–Schwarz Lie conformal superalgebra is inner.
Title: Conformal Super-Biderivations on Lie Conformal Superalgebras
Description:
In this paper, the conformal super-biderivations of two classes of Lie conformal superalgebras are studied.
By proving some general results on conformal super-biderivations, we determine the conformal super-biderivations of the loop super-Virasoro Lie conformal superalgebra and Neveu–Schwarz Lie conformal superalgebra.
Especially, any conformal super-biderivation of the Neveu–Schwarz Lie conformal superalgebra is inner.

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