Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unusual spectral categories   The paper is devoted to a kind of `very non-abelian' spectral categories.
Under strong conditions on a category $\mathcal{X}$, we prove, among other
things, that, for a given faithful localization $\mathcal{C}\to\mathcal{X}$, we
have canonical equivalences
$\mathrm{Spec}(\mathcal{C})\sim\mathcal{X}\sim(\mathrm{Category\,\,of\,\,injective\,\,objects\,\,in}\,\,
\mathcal{C})$, and that $\mathcal{C}$ has natural injective envelopes.

8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat