Homogeneous Multiplicative Polynomial Laws are Determinants
Rings and Algebras
2007-05-23 v1 Optimization and Control
Representation Theory
Abstract
Let R be a ring and let B be a commutative ring. Let p be a homogeneous multiplicative polynomial law of degree n from R to B. We show that p is essentially a determinant, in the sense that p is obtained from a determinant by left and right composition with ring homomorphisms.
Cite
@article{arxiv.math/0406203,
title = {Homogeneous Multiplicative Polynomial Laws are Determinants},
author = {Francesco Vaccarino},
journal= {arXiv preprint arXiv:math/0406203},
year = {2007}
}
Comments
8 pages, 0 figures, amsppt