| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4588825 | Journal of Algebra | 2007 | 14 Pages |
Abstract
We attach a Jordan algebra Lx to any ad-nilpotent element x of index of nilpotence at most 3 in a Lie algebra L. This Jordan algebra has a behavior similar to that of the local algebra of a Jordan system at an element. Thus, Lx inherits nice properties from L and keeps relevant information about the element x.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
