Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sur les triples de Manin pour les alg\`ebres de Lie r\'eductives
  complexes   We study Manin triples for a reductive Lie algebra, $\g$. First, we
generalize results of E. Karolinsky, on the classification of Lagrangian
subalgebras (cf. KAROLINSKY E., {\em A Classification of Poisson homogeneous
spaces of a compact Poisson Lie group}, Dokl. Ak. Nauk, 359 (1998), 13-15).
Then we show that, if $\g$ is non commutative, one can attach, to each Manin
triple in $\g$, an other one for a strictly smaller reductive complex Lie
subalgebra of $\g$. We study also the inverse process.

6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn