Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A geometric approach to $1$-singular Gelfand-Tsetlin $\mathfrak
  {gl}_n$-modules   This paper is devoted to an elementary new construction of $1$-singular
Gelfand-Tsetlin modules using complex geometry. We introduce a universal ring
$\mathcal D_o$ together with the vector space $\mathcal S=\mathcal S(\mathcal
D_o)$ with basis $\mathcal B_o = \mathcal B(\mathcal D_o)$ formed from some
local distributions such that $\mathcal S$ is a natural $\mathcal D_o$-module.
For any homomorphism of rings $\mathcal U(\mathfrak{h}) \to \mathcal D_o$,
where $\mathfrak{h}$ is a Lie algebra, it follows that $\mathcal S$ is also an
$\mathfrak{h}$-module. We observe that the homomorphism of rings constructed in
[FO] is a homomorphism of type $\mathcal U(\mathfrak{gl}_n(\mathbb C)) \to
\mathcal D_o$. Using this observation we obtain a construction of the universal
$1$-singular Gelfand-Tsetlin $\mathfrak{gl}_n(\mathbb C)$-module from [FRG].

23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs