Invariant theory of special orthogonal groups
We study the action of \(SO (n)\) on \(m\)-tuples of \(n \times n\) matrices by simultaneous conjugation. We show that the polynomial invariants are generated by traces and polarized Pfaffians of skewsymmetric projections. We also discuss the same problem for other classical groups.
scientific article; zbMATH DE number 812627