A presentation of the trace algebra of three 3x3 matrices
Rings and Algebras
2011-04-06 v1 Commutative Algebra
Abstract
The trace algebra C_{nd} is generated by all traces of products of d generic n x n matrices. Minimal generating sets of C_{nd} and their defining relations are known for n < 3 and n = 3, d=2. This paper states a minimal generating set and their defining relations for n=d=3. Furthermore the computations yield a description of C_{33} as a free module over the ring generated by a homogeneous system of parameters.
Keywords
Cite
@article{arxiv.1104.0904,
title = {A presentation of the trace algebra of three 3x3 matrices},
author = {Torsten Hoge},
journal= {arXiv preprint arXiv:1104.0904},
year = {2011}
}