Generators of Invariants of Two 4 × 4 Matrices
Abstract
Over a field of characteristic 0, the algebra of invariants of several n× n matrices under simultaneous conjugation by GLn is generated by traces of products of generic matrices. In this paper we have found, in terms of representation theory of GL2, a minimal set of generators of the algebra of invariants of two 4× 4 matrices. The proof is purely combinatorial and involves computer calculations with standard functions of Maple.
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