Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minor Invertible Products Assignment and sparse hyperdeterminants   We consider an extension of Minor Assignment Problems derived from the
determinantal expansion of matrix products, under the condition that the terms
of the expansion are units of C(t). This restriction places constraints on the
sparsity and the factorization properties of a family of hyperdeterminants
derived from Grassmann-Pl\"ucker relations. We find minimal conditions
guaranteeing that allowed assignments returning a determinantal expansion are
the trivial ones, i.e. those induced by the action of a diagonal matrix of
monomials on a pair of constant matrices. Counterexamples are provided when
such conditions do not hold.

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The categories of this paper are: physics
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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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: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th