Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Jordan-Chevalley decomposition and Jordan canonical form of a
  quaternionic linear operator   We introduce some basic notions and results for quaternionic linear operators
analogous to those for complex linear operators. Our main result is to prove
the additive and multiplicative Jordan-Chevalley decompositions for
quaternionic linear operators, which are related by the exponential map. We
also give a new proof of the theorem of Jordan canonical form for quaternionic
linear operators, which is intrinsic and takes less computations than the known
proofs for square quaternionic matrices.

34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an