A presentation of the trace algebra of three 3 x 3 matrices

JOURNAL OF ALGEBRA

卷:358

Article

Hoge, Torsten

关键词: Defining relations;    Trace algebra;    Matrix invariants;    Generic matrices;   

DOI  :  10.1016/j.jalgebra.2012.02.025

来源: Elsevier

【 摘 要 】

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. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free