Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Z_2 x Z_2-graded Lie superalgebra pso(2m+1|2n) and new
  parastatistics representations   When the relative commutation relations between a set of m parafermions and n
parabosons are of ``relative parafermion type'', the underlying algebraic
structure is the classical orthosymplectic Lie superalgebra osp(2m+1|2n). The
relative commutation relations can also be chosen differently, of ``relative
paraboson type''. In this second case, the underlying algebraic structure is no
longer an ordinary Lie superalgebra, but a Z_2 x Z_2$-graded Lie superalgebra,
denoted here by pso(2m+1|2n). The identification of this new algebraic
structure was performed by Tolstoy, amongst others. In the present paper, we
investigate the subalgebra structure of pso(2m+1|2n). This allows us to study
the parastatistics Fock spaces for this new set of m+n para-operators, as they
correspond to lowest weight representations of pso(2m+1|2n). Our main result is
the construction of these Fock spaces, with a complete labeling of the basis
vectors and an explicit action of the para-operators on these basis vectors.

16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn