THE REPRESENTATIONS OF LIE ALGEBRAS ASSOCIATED TO LIE GROUPS

Husein, Hoor M

MAGISTRA
Vol 26, No 89 (2014): Magistra Edisi September

The main aim in this study is to look for an interesting action with new properties from a
Schure’s lemma that states that the action of the tensor product of Lie algebras representations which has
interesting property.
Our main work here is to give a representation of Lie algebra by intertwines these actions (representations)
and to give a representation of Lie algebras associated to representation of Lie groups.

Keywords: AC-Lie algebra, AC_Lie group, Tensor space, Hom space.