2-Local superderivations on the super Virasoro algebra and the super W(2,2) algebra

Abstract

The present paper is devoted to studying 2-local superderivations on the super Virasoro algebra and the super $\mathrm{W}(2,2)$ algebra. It is proved that all 2-local superderivations on the super Virasoro algebra as well as the super $\mathrm{W}(2,2)$ algebra are (global) superderivations.

Keywords:

• 2-Local superderivation
• Lie superalgebra
• super Virasoro algebra
• superderivation

2020 Mathematics Subject Classification:

• 17B40
• 17B65
• 17B68

Acknowledgments

We gratefully acknowledge the partial financial support from the NNSF (Nos. 12071405, 11971315, 11871249).

Disclosure statement

No potential conflict of interest was reported by the author(s).