Degenerations of pre-Lie algebras

DOI10.1063/1.3246608zbMath1284.17019arXiv0809.2188OpenAlexW2167473030MaRDI QIDQ3583676

Dietrich Burde, Thomas Beneš

Publication date: 17 August 2010

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.2188

zbMATH Keywords

topologypre-Lie algebrasvectors

Mathematics Subject Classification ID

Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Lie-admissible algebras (17D25)

Related Items (22)

The algebraic and geometric classification of nilpotent bicommutative algebras ⋮ On the degenerations of solvable Leibniz algebras ⋮ The variety of 7-dimensional 2-step nilpotent Lie algebras ⋮ The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four ⋮ Degenerations of Filippov algebras ⋮ Affine actions on Lie groups and post-Lie algebra structures ⋮ The algebraic classification of nilpotent associative commutative algebras ⋮ Degenerations of nilpotent algebras ⋮ Degenerations of Zinbiel and nilpotent Leibniz algebras ⋮ CLASSIFICATION OF ORBIT CLOSURES IN THE VARIETY OF THREE-DIMENSIONAL NOVIKOV ALGEBRAS ⋮ The algebraic and geometric classification of nilpotent anticommutative algebras ⋮ Degenerations of Jordan superalgebras ⋮ Degenerations of binary Lie and nilpotent Malcev algebras ⋮ On degenerations of Lie superalgebras ⋮ The geometric classification of nilpotent Tortkara algebras ⋮ The classification of 2-dimensional rigid algebras ⋮ Degenerations of nilpotent associative commutative algebras ⋮ The Variety of Two-dimensional Algebras Over an Algebraically Closed Field ⋮ A Characterisation of Nilpotent Lie Algebras by Invertible Leibniz-Derivations ⋮ Degenerations of Leibniz and Anticommutative Algebras ⋮ The Variety of Nilpotent Tortkara Algebras ⋮ Degenerations of graph Lie algebras

Cites Work

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• A characterization of orbit closure and applications
• Hopf algebras, renormalization and noncommutative geometry
• Cohomologies and deformations of right-symmetric algebras
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• A class of operator algebras which are determined by groups
• On degenerations of finite-dimensional nilpotent complex Leibniz algebras
• Contractions of low-dimensional Lie algebras
• On the Contraction of Groups and Their Representations

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