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Zbl 0679.15029
Aslaksen, Helmer
SO(2) invariants of a set of 2$\times 2$ matrices. (English)
[J] Math. Scand. 65, No.1, 59-66 (1989). ISSN 0025-5521

We give an alternative proof of a result due to Sibirskii on the polynomial invariants of SO(2,C) (or SO(2,R)) acting on M(2,C) (or M(2,R)) by conjugation. We show that the invariants are given in terms of traces and Pfaffians, and we find a minimal basis which is a minimal complete set of invariants in the real case.
[H.Aslaksen]

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

Keywords: polynomial invariants; SO(2,C); SO(2,R); traces; Pfaffians; minimal basis

Cited in: Zbl 0813.16015

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