Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Dirac-Dunkl equation on $S^2$ and the Bannai-Ito algebra   The Dirac-Dunkl operator on the 2-sphere associated to the $\mathbb{Z}_2^3$
reflection group is considered. Its symmetries are found and are shown to
generate the Bannai-Ito algebra. Representations of the Bannai-Ito algebra are
constructed using ladder operators. Eigenfunctions of the spherical Dirac-Dunkl
operator are obtained using a Cauchy-Kovalevskaia extension theorem. These
eigenfunctions, which correspond to Dunkl monogenics, are seen to support
finite-dimensional irreducible representations of the Bannai-Ito algebra.

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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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The categories of this paper are: econ
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con