Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirac-K\"Ahler Equation   Tensor, matrix and quaternion formulations of Dirac-K\"ahler equation for
massive and massless fields are considered. The equation matrices obtained are
simple linear combinations of matrix elements in the 16-dimensional space. The
projection matrix-dyads defining all the 16 independent equation solutions are
found. A method of computing the traces of 16-dimensional Petiau-Duffin-Kemmer
matrix product is considered. We show that the symmetry group of the
Dirac-K\"ahler tensor fields for charged particles is SO(4,2). The conservation
currents corresponding this symmetry are constructed. We analyze
transformations of the Lorentz group and quaternion fields. Supersymmetry of
the Dirac-K\"ahler fields with tensor and spinor parameters is investigated. We
show the possibility of constructing a gauge model of interacting
Dirac-K\"ahler fields where the gauge group is the noncompact group under
consideration.

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The categories of this paper are: eess
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The categories of this paper are: patt-sol
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th