论文标题
W-Algebra W(2,2)上的2个本地派生
2-Local derivations on the W-algebra W(2,2)
论文作者
论文摘要
本文专门研究W-Algebra $ W(2,2)$的2个本地派生,这是一个无限二维的代数代数。我们证明W-Algebra $ W(2,2)$上的所有2个局部派生都是派生。我们还对所谓的Thin Lie代数进行了完全分类的2个局部衍生物,并证明它接受了许多不是衍生的2个局部衍生物。
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.