On the Invariants of Matrices and the Embedding Problem
Rings and Algebras
2007-05-23 v1 Representation Theory
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.
Cite
@article{arxiv.math/0406204,
title = {On the Invariants of Matrices and the Embedding Problem},
author = {Francesco Vaccarino},
journal= {arXiv preprint arXiv:math/0406204},
year = {2007}
}
Comments
22 pages, 0 figures, amsppt