Locally inner derivations of ideally finite Lie algebras (Q1101535)

The author shows that if L is a cofinite and ideally finite Lie algebra, then its locally inner derivations are precisely those induced by elements of its idealizer in its profinite completion. He also shows that if L is an ideally finite Lie algebra, then Lin(L) is a profinite completion of Inn(L) for some cofinite topology, where Lin(L), Inn(L) denote, respectively, the set of all locally inner, inner derivations of L. Moreover he determines the dimension of Lin(L) and when Lin(L) and Inn(L) coincide over some fields.