The Invariant Ring of Triples of 3x3 Matrices over a Field of Arbitrary Characteristic

Mathematics – Rings and Algebras

Scientific paper

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13 pages

Scientific paper

Let R_{n,d} be the ring of invariants of d-tuples of n x n matrices under the
simultaneous conjugation action of the general linear group. A minimal
generating system and a homogeneous system of parameters for R_{3,3} are
determined. Homogeneous systems of parameters for R_{3,2}, R_{4,2} are also
pointed out.

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