Derivations, automorphisms and second cohomology of generalized loop Schr\"{o}dinger-Virasoro algebras

TL;DR

This paper completely determines the derivation algebras, automorphism groups, and second cohomology groups of generalized loop Schrödinger-Virasoro algebras, advancing understanding of their algebraic structures.

Contribution

It provides a comprehensive analysis of derivations, automorphisms, and cohomology for these algebras, which was previously unexplored.

Findings

Derivation algebras are explicitly characterized.

Automorphism groups are fully described.

Second cohomology groups are computed.

Abstract

The derivation algebras, automorphism groups and second cohomology groups of the generalized loop Schr\"{o}dinger-Virasoro algebras are completely determined in this paper.