Linear Lie algebras with finite dimensional centralizers
Mathematical Physics
2007-05-23 v2 Dynamical Systems
math.MP
Abstract
We give criteria for finite dimensionality or infinite dimensionality of the polynomial centralizer of the Lie algebra of a linear Lie group, in terms of invariants and relative invariants of the group. In the finite dimensional scenario some applications to normal forms and to certain equations with fundamental solutions are presented.
Cite
@article{arxiv.math-ph/0106026,
title = {Linear Lie algebras with finite dimensional centralizers},
author = {G. Gaeta and S. Walcher},
journal= {arXiv preprint arXiv:math-ph/0106026},
year = {2007}
}
Comments
10 pages; revised version to appear in J. Math. Anal. Appl