On small matrix subalgebras with a trivial centralizer
Rings and Algebras
2011-08-03 v2
Abstract
Given an integer n greater of equal to 3, we investigate the minimal dimension of a subalgebra of M_n(K) with a trivial centralizer. It is shown that this dimension is 5 when n is even and 4 when it is odd. In the latter case, we also determine all 4-dimensional subalgebras with a trivial centralizer.
Keywords
Cite
@article{arxiv.1001.3995,
title = {On small matrix subalgebras with a trivial centralizer},
author = {Clément de Seguins Pazzis},
journal= {arXiv preprint arXiv:1001.3995},
year = {2011}
}
Comments
15 pages (some corrections from v1, one proof has been fixed)