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Zbl 0830.15027
Aslaksen, Helmer; Tan, Eng-Chye; Zhu, Chen-Bo
Invariant theory of special orthogonal groups. (English)
[J] Pac. J. Math. 168, No.2, 207-215 (1995). ISSN 0030-8730

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.
[Helmer Aslaksen]

MSC 2000:: *15A72 Vector and tensor algebra
20G20 Linear algebraic groups over the reals

Keywords: orthogonal groups; polynomial invariants; traces; polarized Pfaffians; skewsymmetric projections

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