Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gluing of abelian categories and differential operators on the basic
  affine space   The notion of gluing of abelian categories was introduced by Kazhdan and
Laumon in an attempt of another geometric construction of representations of
finite Chevalley groups; the approach was later developed by Polishchuk and
Braverman. We observe that this notion of gluing is a particular case of a
general categorical construction (used also by Kontsevich and Rosenberg to
define "noncommutative schemes"). We prove a conjecture of Kazhdan which says
that the D-module counterpart of the Kazhdan-Laumon gluing construction
produces a category equivalent to modules over the ring $\mathcal D$ of global
differential operators on the basic affine space. As an application we show
that $\mathcal D$ is Noetherian, and has finite injective dimension as a module
over itself.

32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex