Invariant theoretic characterization of subdiscriminants of matrices

DOI10.1080/03081087.2012.762714zbMath1285.13030arXiv1206.2358OpenAlexW2046853698MaRDI QIDQ5409944

Matyas Domokos

Publication date: 15 April 2014

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2358

zbMATH Keywords

orthogonal groupsum of squaressubdiscriminantideal of subspace arrangement

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Sums of squares and representations by other particular quadratic forms (11E25) Representation theory for linear algebraic groups (20G05) Vector and tensor algebra, theory of invariants (15A72) Real algebraic sets (14P05) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Actions of groups on commutative rings; invariant theory (13A50)

Related Items (2)

Real symmetric matrices with partitioned eigenvalues ⋮ Hermitian matrices with a bounded number of eigenvalues

Cites Work

• The discriminants associated to isotropy representations of symmetric spaces
• A generalization of the Chevalley restriction theorem
• Stable sets and polynomials
• Lie groups. An approach through invariants and representations
• Discriminant of symmetric matrices as a sum of squares and the orthogonal group
• SUBSPACE ARRANGEMENTS DEFINED BY PRODUCTS OF LINEAR FORMS
• Defining equations of subspace arrangements embedded in reflection arrangements
• Algorithms in real algebraic geometry

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