The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence

DOI10.1080/00927872.2016.1175596zbMath1418.17038arXiv1310.4741OpenAlexW2962734151MaRDI QIDQ2984863

Vladimir V. Bavula

Publication date: 12 May 2017

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.4741

zbMATH Keywords

automorphismLie algebralocally nilpotent derivationderivationgroup of automorphismsthe divergencethe Lie algebras of polynomial vector fields with zero or constant divergence

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40)

Related Items (2)

The groups of automorphisms of the Lie algebras of formally analytic vector fields with constant divergence ⋮ Bracket width of simple Lie algebras

Cites Work

• Unnamed Item
• The inversion formula for automorphisms of the Weyl algebras and polynomial algebras
• Subalgebras and automorphisms of Lie algebras of Cartan type
• Isomorphisms and ideals of the Lie algebras of vector fields
• Generalized Cartan type \(S\) Lie algebras in characteristic zero
• Lie algebras of derivations and affine algebraic geometry over fields of characteristic \(0\)
• Automorphisms of the Lie Algebras W^* in Characteristic 0
• Automorphisms of quantum and classical Poisson algebras

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