Lie algebras of triangular polynomial derivations and an isomorphism criterion for their Lie factor algebras

Abstract

The ideals of the Lie algebras of unitriangular polynomial derivations are classified. An isomorphism criterion is given for the Lie factor algebras of the Lie algebras of unitriangular polynomial derivations.

33 pages

References in corpus (2)

• Every monomorphism of the Lie algebra of unitriangular polynomial derivations is an automorphism
• The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations

Cited by in corpus (5)

• On Lie algebras consisting of locally nilpotent derivations
• The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations
• Wildness of the problem of classifying nilpotent Lie algebras of vector fields in four variables
• On nilpotent Lie algebras of derivations of fraction fields
• On nilpotent and solvable Lie algebras of derivations