English

Closure of Certain Matrix Varieties and Applications

Algebraic Geometry 2023-07-03 v1

Abstract

We prove some results about closures of certain matrix varieties consisting of elements with the same centralizer dimension. This generalizes a result of Dixmier and has applications to topological generation of simple algebraic groups.

Keywords

Cite

@article{arxiv.2306.17318,
  title  = {Closure of Certain Matrix Varieties and Applications},
  author = {William Chang and Robert Guralnick},
  journal= {arXiv preprint arXiv:2306.17318},
  year   = {2023}
}

Comments

4 pages, 0 figures

R2 v1 2026-06-28T11:18:29.773Z