Orthogonal matrix invariants

2010/11/25 by Artem Lopatin, Lopatin, A. A.
Computer Science · Mathematics · #13A50 #16R30 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Matrix Theory and Algorithms #Numerical methods for differential equations #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1011.5565

openalex publication_date 2010/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The orthogonal group acts on the space of several n× n matrices by simultaneous conjugation. For an infinite field of characteristic different from two, relations between generators for the algebra of invariants are described. As an application, the maximal degree of elements of a minimal system of generators is described with deviation 3. This note contains concise but precise description of the results. All proofs can be found in arXiv: 0902.4266 and arXiv: 1011.5201.

Citations

• The invariant theory of n × n matrices

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