Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Universal representations of Lie algebras by coderivations   A class of representations of a Lie superalgebra (over a commutative
superring) in its symmetric algebra is studied. As an application we get a
direct and natural proof of a strong form of the Poincare'-Birkhoff-Witt
theorem, extending this theorem to a class of nilpotent Lie superalgebras.
Other applications are presented. Our results are new already for Lie algebras.

23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs