Abstract In [7] Jordan algebras were attached to ad-nilpotent elements of index less than or equal to three of Lie algebras. In this paper we study conditions on the own… Click to show full abstract
Abstract In [7] Jordan algebras were attached to ad-nilpotent elements of index less than or equal to three of Lie algebras. In this paper we study conditions on the own structure of the Lie algebras that imply the speciality of these Jordan algebras. Similar results are obtained when dealing with subquotients associated to abelian inner ideals.
               
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