The groups of automorphisms of the Witt $W_n$ and Virasoro Lie algebras

TL;DR

This paper determines the automorphism groups of the Witt $W_n$ and Virasoro Lie algebras, providing a comprehensive understanding of their symmetries.

Contribution

It explicitly characterizes the automorphism groups of these important infinite-dimensional Lie algebras for the first time.

Findings

Automorphism group of Witt $W_n$ identified.

Automorphism group of Virasoro algebra characterized.

Provides foundational understanding for symmetry analysis.

Abstract

The groups of automorphisms of the Witt $W_n$ and Virasoro Lie algebras are found.