The Jordan algebras of a Lie algebra
- Fernández López, Antonio
- García, Esther
- Gómez Lozano, Miguel
Publication date
February 2007
DOI Publisher
Elsevier Inc. ISSN
0021-8693 Citation count (estimate)
21Abstract
AbstractWe 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
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