Local derivations and local automorphisms on the super Virasoro algebras

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.

KEYWORDS:

• 2-local automorphism
• local automorphism
• local derivation
• super Virasoro algebra

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 15A06
• 17A36
• 17B40

Additional information

Funding

This work is partially supported by the NNSF (Nos. 12071405, 11971315, 11871249), the Innovation Project of Excellent Doctoral Students of Xinjiang University, China (Grant No. XJU2023BS019).