| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4605981 | Differential Geometry and its Applications | 2014 | 11 Pages |
Abstract
The structure of the four-dimensional oscillator Lie algebra is examined. The adjoint orbits are determined; these are linearly isomorphic to the coadjoint orbits. The linear subspaces are classified; as a by-product, we arrive at classifications of the full-rank subspaces, the subalgebras, and the ideals. The associated connected Lie groups are then classified. Some comments regarding control systems conclude the paper.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Rory Biggs, Claudiu C. Remsing,