This article confirms a relationship between Lie and Jordan algebra representations through alternative methods.
Key Points
The research aims to establish a one-to-one correspondence between representations of SL2-structures in Lie algebras and special representations of Jordan algebras.
Utilized an alternative approach to the Tits–Kantor–Koeher construction.
Employed analog SL2-structures on Lie modules.
Confirmed relationships through theoretical proof.
Established a clear correspondence between representations of SL2-structures and Jordan algebras.
Provided theoretical evidence supporting the proposed relationships.