Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 2-Local derivations on the W-algebra W(2,2)   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.

12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int