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 \(R_{3,3}\).


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
Full Text: EuDML EMIS