Lie algebras of derivations and affine algebraic geometry over fields of characteristic \(0\)

DOI10.1007/BF01444221zbMath0858.17018MaRDI QIDQ1923229

Thomas Siebert

Publication date: 25 November 1996

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/182987

zbMATH Keywords

idealsLie algebras of vector fieldsaffine varietiesderivation Lie algebras

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Infinite-dimensional Lie (super)algebras (17B65) Derivations, actions of Lie algebras (16W25) Varieties and morphisms (14A10) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (max. 100)

Tangential idealizers and differential ideals ⋮ Lie algebraic characterization of manifolds ⋮ On nilpotent and solvable Lie algebras of derivations ⋮ Annihilators of \(A\mathcal{V}\)-modules and differential operators ⋮ Derivations, extensions, and rigidity of subalgebras of the Witt algebra ⋮ Convex topological algebras via linear vector fields and Cuntz algebras ⋮ The superalgebras of Jordan brackets defined by the \(n\)-dimensional sphere ⋮ Unnamed Item ⋮ The groups of automorphisms of the Lie algebras of polynomial vector fields with zero or constant divergence ⋮ Lie algebras of vector fields on smooth affine varieties ⋮ Bracket width of simple Lie algebras ⋮ Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table? ⋮ Deformations of Lie algebras of vector fields arising from families of schemes ⋮ The Lie algebra of polynomial vector fields and the Jacobian conjecture ⋮ On self-similar Lie algebras and virtual endomorphisms ⋮ Representations of Lie algebras of vector fields on affine varieties ⋮ Representations of Lie algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Infinite dimensional Lie algebras. An introduction
• Regular Lie rings of derivations
• A method of classifying expansive singularities
• Lie algebra of vector fields and complex structure
• Isomorphisms and ideals of the Lie algebras of vector fields
• Affine varieties and Lie algebras of vector fields
• A Jordan-Hölder decomposition for a certain class of infinite dimensional Lie algebras
• On the Ideals of a Lie Algebra of Derivations
• Differential Ideals in Rings of Finitely Generated Type
• An algebraic model of transitive differential geometry
• The Lie Algebra of a Smooth Manifold

This page was built for publication: Lie algebras of derivations and affine algebraic geometry over fields of characteristic \(0\)