Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Repr\'esentations irr\'eductibles de certaines alg\`ebres d'op\'erateurs
  diff\'erentiels   For a projective variety $X$ and a line bundle $L$ over $X$, one considers
the $L-$twisted global differential operator algebra $\call{D}_L(X)$ which
naturally operates on the space of global sections $H^0(X,L)$. In the case
where $X$ is the wonderful compactification of the group $\mathrm{PGL}_3$, one
proves that the space $H^0(X,L)$ is an irreducible representation of the
algebra $\call{D}_L(X)$ or zero. For that, one introduces a $2-$order
differential operator which is defined over whole $X$ but which does not arise
from the infinitesimal action of the automorphism group $\mathrm{Aut}(X)$.

1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn