Orthogonal Matrix Invariants

A.A. Lopatin

doi:10.4172/1736-4337.S1-007

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Home > Journals > J. Gen. Lie Theory Appl. > Volume 9 > Issue S1 > Article

2015 Orthogonal Matrix Invariants

A.A. Lopatin

J. Gen. Lie Theory Appl. 9(S1): 1-3 (2015). DOI: 10.4172/1736-4337.S1-007

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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.