2021Communications in AlgebraRequires access

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

Munayim Dilxat, Shoulan Gao, Dong Liu

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Abstract

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

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What this paper is about

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

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Available abstract

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

Key concepts: Virasoro algebra, Mathematics, Algebra over a field, Cellular algebra, Filtered algebra, Algebra representation, Witt algebra, Current algebra

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