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arXiv · 0704.2410

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

A. A. Lopatin
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Abstract

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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A. A. Lopatin. 2007-04-18. The Invariant Ring of Triples of 3x3 Matrices over a Field of Arbitrary Characteristic. https://arxiv.org/abs/0704.2410

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