Abstract
A general method for constructing local Lie groups which are not contained in any global Lie group is described. These examples fail to satisfy the global associativity axiom which, by a theorem of Mal'cev, is necessary and sufficient for globalizability. Furthermore, we prove that every local Lie group can be characterized by such a covering construction, thereby generalizing Cartan's global version of the Third Fundamental Theorem of Lie.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 23-51 |
| Number of pages | 29 |
| Journal | Journal of Lie Theory |
| Volume | 6 |
| Issue number | 1 |
| State | Published - Dec 1 1996 |