Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the matrix equation $XA + AX^T = 0$   The matrix equation $XA + AX^T = 0$, which has relevance to the study of Lie
algebras, was recently studied by De Teran and Dopico. They reduced the study
of this equation to several special cases and produced explicit solutions in
most instances. In this note we obtain an explicit solution in one of the
difficult cases, for which only the dimension of the solution space and an
algorithm to find a basis of this space were known previously.

19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an