POINTWISE INNER AUTOMORPHISMS OF RELATIVELY FREE LIE ALGEBRAS

Let $K$ be a field of characteristic zero, and $L_{m,c}$ the free metabelian nilpotent Lie algebra class $c$ rank $m$ over $K$. We call an automorphism $\phi$ pointwise inner, if there exists inner $\xi_i$ for each generator $x_i$, $i=1,\ldots,m$, such that $\phi(x_i)=\xi_i(x_i)$. In this study, we exemine group $PI(L_{m,c})$ pintwise automorphisms $L_{m,c}$, provide set generators group.