2-Local derivations on the W-algebra W(2,2)

Xiaomin Tang

2-Local derivations on the W-algebra W(2,2)

Rings and Algebras 2020-03-13 v1

Authors: Xiaomin Tang

Abstract

The present paper is devoted to study 2-local derivations on W-algebra $W(2,2)$ which is an infinite-dimensional Lie algebras with some out derivations. We prove that all 2-local derivations on the W-algebra $W(2,2)$ are derivation. We also give a complete classification of the 2-local derivation on the so called thin Lie algebra and prove that it admits a lots of 2-local derivations which are not derivations.

Keywords

derivations on operator algebras lie algebras and superalgebras lie algebra

Cite

@article{arxiv.2003.05627,
  title  = {2-Local derivations on the W-algebra W(2,2)},
  author = {Xiaomin Tang},
  journal= {arXiv preprint arXiv:2003.05627},
  year   = {2020}
}

Comments

12 pages

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