Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A classification of lowest weight irreducible modules over
  $\mathbb{Z}_2^2$-graded extension of $osp(1|2)$   We investigate representations of the $\mathbb{Z}_2^2$-graded extension of
$osp(1|2)$ which is the spectrum generating algebra of the recently introduced
$\mathbb{Z}_2^2$-graded version of superconformal mechanics. The main result is
a classification of irreducible lowest weight modules of the
$\mathbb{Z}_2^2$-graded extension of $osp(1|2)$. This is done via introduction
of Verma modules and its maximal invariant submodule generated by singular
vectors. Explicit formula of all singular vectors are also presented.

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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: econ