On the Invariants of Matrices and the Embedding Problem

Details On the Invariants of Matrices and the Embedding Problem On the Invariants of Matrices and the Embedding Problem

2004-06-09

arxiv.org/abs/math/0406204v1

Mathematics

Rings and Algebras

22 pages, 0 figures, amsppt

Scientific paper

Let K be an infinite field and let R be a K-algebra endowed with a
homogeneous polynomial norm N of degree n. If N satisfies a formal analogue of
the Cayley-Hamilton Theorem the we will show that R is a quotient of the ring
of the invariants of several square matrices of order n under the simultaneous
conjugation.

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