Every monomorphism of the Lie algebra of unitriangular polynomial derivations is an automorphism

Abstract

We prove that every monomorphism of the Lie algebra $\ggu_n$ of unitriangular derivations of the polynomial algebra $P_n=K[x_1,...,x_n]$ is an automorphism.

4 pages

Cited by in corpus (2)

• Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras
• The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations