Local derivations and local automorphisms on the super Virasoro algebras
Qingyan Wu, Shoulan Gao, Dong Liu, Chang Ye

TL;DR
This paper proves that all local derivations and local or 2-local automorphisms on super-Virasoro algebras are actually derivations and automorphisms, respectively, clarifying their structural properties.
Contribution
It establishes that every local derivation is a derivation and every local or 2-local automorphism is an automorphism on super-Virasoro algebras, providing new insights into their algebraic structure.
Findings
Every local derivation is a derivation.
Every local automorphism is an automorphism.
Every 2-local automorphism is an automorphism.
Abstract
This paper aims to study the local derivations, 2-local automorphisms and local automorphisms on the super-Virasoro algebras. The primary focus is to establish that every local derivation of the super-Virasoro algebras is indeed a derivation, and to demonstrate that every local or 2-local automorphism of the super-Virasoro algebras is an automorphism.
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Taxonomy
TopicsAdvanced Photonic Communication Systems · Optical Network Technologies
