Özet:

F shall be the final produced free Lie cebiri on a K body, the γn (F) F shall be L=Fγn (F) in the n-ci sub-centric term. In this study, the autokomutators of L and a subgroup of the automorphism group of G, L, according to G, the automorphisms of L and automorphisms of L have been identified and some of the characteristics of these automorphisms have been studied. It has also been achieved results related to automotive automorphisms, and the center of L has been identified within the automotive automorphism group.

Anahtar Kelimeler:

Özet:

Let F is a finite generated Lie algebra on a field K, and let L=F╱γn (F)  where  γn (F)  is the nth lower central term of F.  In this study, the autocommutators of L  and the autocentral, autocentral automorphisms of  L  according to G were defined (where G is a subgroup of automorphism groups of  L). In addition, the results related to autocentral automorphisms were obtained and the centralizer of the center of  L in autocentral automorphisms group is defined.