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arXiv · 1004.3082

Orthogonal invariants of skew-symmetric matrices

A. A. Lopatin
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Abstract

The algebra of invariants of d-tuples of n x n skew-symmetric matrices under the action of the orthogonal group by simultaneous conjugation is considered over an infinite field of characteristic different from two. For n=3 and d>0 a minimal set of generators is established. A homogeneous system of parameters (i.e., an algebraically independent set such that the algebra of invariants is a finitely generated free module over subalgebra generated by this set) is described for n=3 and d>0, for n=4 and d=2,3, for n=5 and d=2.

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BibTeXRIS

A. A. Lopatin. 2010-04-19. Orthogonal invariants of skew-symmetric matrices. https://arxiv.org/abs/1004.3082

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