The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations

2012/04/22 by V. V. Bavula, Bavula, V. V. · 1 citation
Mathematics · Physics and Astronomy · #17B30 #17B40 #17B65 #17B66 #Advanced Differential Equations and Dynamical Systems #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1204.4910

openalex publication_date 2012/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations are found.

Cited by

• Derivations of Lie Algebras of Vector Fields in Infinitely Many Variables

Related

• Every monomorphism of the Lie algebra of unitriangular polynomial derivations is an automorphism
• The group of automorphisms of the Lie algebra of derivations of a polynomial algebra
• The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence
• Groups of triangular automorphisms of a free associative algebra and a\n polynomial algebra
• The automorphism group of the group of unitriangular matrices over a field