Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Jordan triple product homomorphisms on Hermitian matrices to and from
  dimension one   We characterise all Jordan triple product homomorphisms, that is, mappings
$\Phi$ satisfying $$ \Phi(ABA) = \Phi(A)\Phi(B)\Phi(A) $$ from the set of all
Hermitian $n \times n$ complex matrices to the field of complex numbers.
Further we characterise all Jordan triple product homomorphisms from the field
of complex or real numbers or the set of all nonnegative real numbers to the
set of all Hermitian $n \times n$ complex matrices.

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The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph