The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations
V. V. Bavula
TL;DR
This paper determines the automorphism groups of Lie algebras composed of unitriangular polynomial derivations, providing a comprehensive understanding of their symmetries.
Contribution
It explicitly characterizes the automorphism groups of these Lie algebras, a novel result in the structure theory of polynomial derivations.
Findings
Automorphism groups are explicitly described.
Structural properties of the Lie algebras are clarified.
New classifications of automorphisms are provided.
Abstract
The groups of automorphisms of the Lie algebras of unitriangular polynomial derivations are found.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Nonlinear Waves and Solitons · Advanced Topics in Algebra