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Suppose that a Lie type algebra L over a field K admits a Frobenius group ofautomorphisms FH with cyclic kernel F of order n and complement H such that thefixed-point subalgebra of F is trivial and the fixed-point subalgebra of H isnilpotent of class c. If the ground field K contains a primitive n-th root ofunity, then L is nilpotent and the nilpotency class of L is bounded in terms of|H| and c. The result extends the known theorem of Khukhro, Makarenko andShumyatsky on Lie algebras with metacyclic Frobenius group of automorphisms.

Nilpotency of Lie type algebras with metacyclic Frobenius groups of automorphisms