On small matrix subalgebras with a trivial centralizer

Details On small matrix subalgebras with a trivial centralizer On small matrix subalgebras with a trivial centralizer

2010-01-22

arxiv.org/abs/1001.3995v2

Lin. Multilin. Alg. 59-7 (2011) 761-771

Mathematics

Rings and Algebras

15 pages (some corrections from v1, one proof has been fixed)

Scientific paper

10.1080/03081087.2010.511212

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.

Affiliated with

Also associated with

No associations

Rating

On small matrix subalgebras with a trivial centralizer does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On small matrix subalgebras with a trivial centralizer, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On small matrix subalgebras with a trivial centralizer will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-655950