local derivations on Witt algebras

Yang Chen; Kaiming Zhao; Yueqiang Zhao

local derivations on Witt algebras

Rings and Algebras 2020-03-30 v1

Authors: Yang Chen , Kaiming Zhao , Yueqiang Zhao

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.

Keywords

derivations on operator algebras

Cite

@article{arxiv.1911.05015,
  title  = {local derivations on Witt algebras},
  author = {Yang Chen and Kaiming Zhao and Yueqiang Zhao},
  journal= {arXiv preprint arXiv:1911.05015},
  year   = {2020}
}

Comments

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

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