local derivations on Witt algebras

Abstract

In this paper, we prove that every local derivation on Witt algebras $W_n,W_n^{+}$ or $W_n^{++}$ is a derivation for any $n\in \mathbb{N}$. As a consequence, we obtain that every local derivation on a centerless generalized Virasoro algebra of higher rank is a derivation.

11 pages. arXiv admin note: text overlap with arXiv:1909.06242