Lopatin, A. A. The ring of invariants of three \((3\times 3)\)-matrices over a field of prime characteristic. (Russian, English) Zbl 1065.16020 Sib. Mat. Zh. 45, No. 3, 624-633 (2004); translation in Sib. Math. J. 45, No. 3, 513-521 (2004). Let \(R_{3,3}\) be the algebra of invariants of three \((3\times 3)\)-matrices. The author finds a minimal set of generators and a homogeneous system of parameters of \(R_{3,3}\). Reviewer: A. P. Pozhidaev (Novosibirsk) Cited in 3 Documents MSC: 16R30 Trace rings and invariant theory (associative rings and algebras) 16W22 Actions of groups and semigroups; invariant theory (associative rings and algebras) 15A72 Vector and tensor algebra, theory of invariants 13A50 Actions of groups on commutative rings; invariant theory Keywords:matrix invariants; minimal sets of generators; systems of parameters PDFBibTeX XMLCite \textit{A. A. Lopatin}, Sib. Mat. Zh. 45, No. 3, 624--633 (2004; Zbl 1065.16020); translation in Sib. Math. J. 45, No. 3, 513--521 (2004) Full Text: EuDML EMIS