Regularity action of abelian linear groups on C^n
Dynamical Systems
2011-05-31 v3
Abstract
In this paper, we give a characterization of the action of any abelian subgroup G of GL(n, C) on C^n. We prove that any orbit of G is regular with order m<=2n. Moreover, we give a method to determine this order. In the other hand, we specify the region of all orbits which are isomorphic. If G is finitely generated, this characterization is explicit.
Cite
@article{arxiv.1105.4686,
title = {Regularity action of abelian linear groups on C^n},
author = {Adlene Ayadi and Ezzeddine Salhi},
journal= {arXiv preprint arXiv:1105.4686},
year = {2011}
}