Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Super-Hopf realizations of Lie Superalgebras: Braided Paraparticle
  extensions of the Jordan-Schwinger map   The mathematical structure of a mixed paraparticle system (combining both
parabosonic and parafermionic degrees of freedom) commonly known as the
Relative Parabose Set, will be investigated and a braided group structure will
be described for it. A new family of realizations of an arbitrary Lie
superalgebra will be presented and it will be shown that these realizations
possess the valuable representation-theoretic property of transferring
invariably the super-Hopf structure. Finally two classes of virtual
applications will be outlined: The first is of interest for both mathematics
and mathematical physics and deals with the representation theory of infinite
dimensional Lie superalgebras, while the second is of interest in theoretical
physics and has to do with attempts to determine specific classes of solutions
of the Skyrme model.

34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg