Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New approach to representation theory of semisimple Lie algebras and
  quantum algebras   A method to construct in explicit form the generators of the simple roots of
an arbitrary finite-dimensional representation of a quantum or standard
semisimple algebra is found. The method is based on general results from the
global theory of representations of semisimple groups. The rank two algebras
$A_2$, $B_2=C_2$, $D_2$ and $G_2$ are considered as examples. The generators of
the simple roots are presented as solutions of a system of finite difference
equations and given in the form of $N_l\times N_l$ matrices, where $N_l$ is the
dimension of the representation.

22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas