Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional Supersymmetry and Lie Algebras   Supersymmetry and super-Lie algebras have been consistently generalized
previously. The so-called fractional supersymmetry and $F-$Lie algebras could
be constructed starting from any representation $\D$ of any Lie algebra $g$.
This involves taking the $F^{\mathrm th}$ root of $\D$ in some sense. We show,
after having constructed differential realization(s) of any Lie algebra, how
fractional supersymmetry can be explicitly realized in terms of appropriate
homogeneous monomials.

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: eess