Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The derived algebra of a stabilizer, families of coadjoint orbits, and
  sheets   Let $\mathfrak{g}$ be a finite-dimensional real or complex Lie algebra, and
let $\mu \in \mathfrak{g}^{*}$. In the first part of the paper, the relation is
discussed between the derived algebra of the stabilizer of $\mu$ and the set of
coadjoint orbits which have the same dimension as the orbit of $\mu$. In the
second part, semisimple Lie algebras are considered, and the relation is
discussed between the derived algebra of a centralizer and sheets.

18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph