Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jacobson generators of the quantum superalgebra $U_q[sl(n+1|m)]$ and
  Fock representations   As an alternative to Chevalley generators, we introduce Jacobson generators
for the quantum superalgebra $U_q[sl(n+1|m)]$. The expressions of all
Cartan-Weyl elements of $U_q[sl(n+1|m)]$ in terms of these Jacobson generators
become very simple. We determine and prove certain triple relations between the
Jacobson generators, necessary for a complete set of supercommutation relations
between the Cartan-Weyl elements. Fock representations are defined, and a
substantial part of this paper is devoted to the computation of the action of
Jacobson generators on basis vectors of these Fock spaces. It is also
determined when these Fock representations are unitary. Finally, Dyson and
Holstein-Primakoff realizations are given, not only for the Jacobson
generators, but for all Cartan-Weyl elements of $U_q[sl(n+1|m)]$.

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: supr-con