2-Local derivations on the Super Virasoro algebra and Super W(2,2) algebra
Munayim Dilxat, Shoulan Gao, Dong Liu
TL;DR
This paper proves that all 2-local superderivations on the super Virasoro and super W(2,2) algebras are actually superderivations, establishing a key structural property of these algebras.
Contribution
It demonstrates that 2-local superderivations on these superalgebras are necessarily global superderivations, extending understanding of their algebraic structure.
Findings
All 2-local superderivations are superderivations on both algebras
The result applies to the super Virasoro algebra and the super W(2,2) algebra
Provides insight into the structure of derivations in superalgebra theory
Abstract
The present paper is devoted to study 2-local superderivations on the super Virasoro algebra and the super W(2,2) algebra. We prove 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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Nonlinear Waves and Solitons