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Irreducible algebraic sets of matrices with dominant restriction of the characteristic map

Marcin Skrzyński (2003)

Mathematica Bohemica

We collect certain useful lemmas concerning the characteristic map, 𝒢 L n -invariant sets of matrices, and the relative codimension. We provide a characterization of rank varieties in terms of the characteristic map as well as some necessary and some sufficient conditions for linear subspaces to allow the dominant restriction of the characteristic map.

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