paper

On the Invariants of Matrices and the Embedding Problem

arXiv:math/0406204

Abstract

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.

22 pages, 0 figures, amsppt

On the Invariants of Matrices and the Embedding Problem · wovepaper