Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the stability of weight spaces of enveloping algebra in prime
  characteristic   By the result of Dixmier, any weight space of enveloping algebra of Lie
algebra L over a field of characteristic 0 is adL stable. In this paper we will
show that this result need not be true, if F is replaced by a field of prime
characteristic. A condition will be given, so a weight space will be adL
stable.

30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
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
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th