Commutative post-Lie algebra structures on Lie algebras

DOI10.1016/j.jalgebra.2016.07.030zbMath1395.17011arXiv1512.05096OpenAlexW2963406107WikidataQ105335961 ScholiaQ105335961MaRDI QIDQ314244

Dietrich Burde, Wolfgang Alexander Moens

Publication date: 13 September 2016

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

Full work available at URL: https://arxiv.org/abs/1512.05096

zbMATH Keywords

pre-Lie algebrapost-Lie algebra

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Solvable, nilpotent (super)algebras (17B30) Nonassociative algebras satisfying other identities (17A30) Lie-admissible algebras (17D25)

Related Items (26)

Marginal deformations of WZW models and the classical Yang–Baxter equation ⋮ Biderivations of the higher rank Witt algebra without anti-symmetric condition ⋮ Biderivations of the twisted Heisenberg–Virasoro algebra and their applications ⋮ A Zassenhaus conjecture and CPA-structures on simple modular Lie algebras ⋮ Homotopy Rota-Baxter operators and post-Lie algebras ⋮ Derivations and Biderivations of the Schrödinger algebra in (n + 1)-dimensional space-time ⋮ Counterexamples to the Zassenhaus conjecture on simple modular Lie algebras ⋮ Biderivations of a Lie algebra of Block type and applications ⋮ Post-groups, (Lie-)Butcher groups and the Yang-Baxter equation ⋮ Biderivations and commutative post-Lie algebra structures on the Lie algebra \(\mathcal{W}(a,b)\) ⋮ Biderivations of the planar Galilean conformal algebra and their applications ⋮ Commutative post-Lie algebra structures and linear equations for nilpotent Lie algebras ⋮ Crystallographic actions on Lie groups and post-Lie algebra structures ⋮ Post-Lie algebra structures on the Witt algebra ⋮ Post-Lie algebra structures for nilpotent Lie algebras ⋮ Derivations of the Schrödinger algebra and their applications ⋮ Integration and geometrization of Rota-Baxter Lie algebras ⋮ Biderivations of the deformative Schrödinger-Virasoro algebras ⋮ Graded post-Lie algebra structures and homogeneous Rota-Baxter operators on the Schrödinger-Virasoro algebra ⋮ Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras ⋮ Biderivations of the Galilean Conformal Algebra and their applications ⋮ Commutative post-Lie algebra structures on Kac–Moody algebras ⋮ Unnamed Item ⋮ Biderivations and commutative post-Lie algebra structure on Schrödinger-Virasoro Lie algebras ⋮ Commutative post-Lie algebra structures on nilpotent Lie algebras and Poisson algebras ⋮ Biderivations and linear commuting maps on the restricted contact Lie algebras K(n; )

Cites Work

• Unnamed Item
• Affine actions on Lie groups and post-Lie algebra structures
• Post-Lie algebra structures on pairs of Lie algebras
• Homology of generalized partition posets
• Complete left-invariant affine structures on nilpotent Lie groups
• On Lie algebras with only inner derivations
• The structure of complete left-symmetric algebras
• Radical d'une algèbre symétrique à gauche
• Generalized derivations of Lie algebras
• Maximal isotropy groups of Lie groups related to nilradicals of parabolic subalgebras
• The Auslander conjecture for NIL-affine crystallographic groups.
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• On the cohomology of soluble Lie algebras
• Solvable Lie algebras with Borel nilradicals
• Complete LR-structures on solvable Lie algebras
• LR-algebras
• Affine actions on nilpotent Lie groups
• Some results on complete lie algebras^*
• Post-Lie algebra structures and generalized derivations of semisimple Lie algebras
• AFFINE STRUCTURES ON NILMANIFOLDS
• The realization and structure of complete Lie algebras whose nilpotent radicals are Heisenberg algebras

This page was built for publication: Commutative post-Lie algebra structures on Lie algebras