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arXiv · 1206.2358

Invariant theoretic characterization of subdiscriminants of matrices

M. Domokos
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Abstract

An invariant theoretic characterization of subdiscriminants of matrices is given. The structure as a module over the special orthogonal group of the minimal degree non-zero homogeneous component of the vanishing ideal of the variety of real symmetric matrices with a bounded number of different eigenvalues is investigated. These results are applied to the study of sum of squares presentations of subdisciminants of real symmetric matrices.

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M. Domokos. 2012-06-11. Invariant theoretic characterization of subdiscriminants of matrices. https://arxiv.org/abs/1206.2358

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