Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The tangential $k$-Cauchy-Fueter complexes and Hartogs' phenomenon over
  the right quaternionic Heisenberg group   We construct the tangential $k$-Cauchy-Fueter complexes on the right
quaternionic Heisenberg group, as the quaternionic counterpart of
$\overline{\partial}_b$-complex on the Heisenberg group in the theory of
several complex variables. We can use the $L^2$ estimate to solve the
nonhomogeneous tangential $k$-Cauchy-Fueter equation under the compatibility
condition over this group modulo a lattice. This solution has an important
vanishing property when the group is higher dimensional. It allows us to prove
the Hartogs' extension phenomenon for $k$-CF functions, which are the
quaternionic counterpart of CR functions.

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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an