local derivations on Witt algebras (1911.05015v1)

Published 12 Nov 2019 in math.RA

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.

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