Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A transformation that preserves principal minors of skew-symmetric
  matrices   Our motivation comes from the work of Engel and Schneider (1980). Their main
theorem implies that two symmetric matrices have equal corresponding principal
minors of all orders if and only if they are diagonally similar. This study was
continued by Hartfiel and Loewy (1984). They found sufficient conditions under
which two $n\times n$ matrices\ $A$ and $B$ have equal corresponding principal
minors of all orders if and only if $B$ or its transpose $B^{t}$ is diagonally
similar to $A$. In this paper, we give a new way to construct a pair of
skew-symmetric having equal corresponding principal minors of all orders.

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The categories of this paper are: hep-th
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The categories of this paper are: hep-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph