Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sur la dimension de l'espace des orbites d'une grassmannienne sous
  l'action d'un groupe alg\'{e}brique   We are interested in the actions of an algebraic group G over the
grassmannians of a finite dimensional K-vector space V (K algebraically closed)
deduced from an action of G over V. We prove that the dimension of the orbit
space of G(i,V) is smaller than that of G(j,V) if and only if the dimension of
G(i,V) is smaller than that of G(j,V). We then get similar results for flag
varieties. Different methods allow us to get results about the number of orbits
when the ground field is finite.

9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg