Post-Lie algebra structures for perfect Lie algebras

DOI10.1080/00927872.2024.2344638MaRDI QIDQ6600707

Dietrich Burde, Karel Dekimpe, Mina Monadjem

Publication date: 10 September 2024

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

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Lie-admissible algebras (17D25)

Cites Work

• Affine actions on Lie groups and post-Lie algebra structures
• Post-Lie algebra structures on pairs of Lie algebras
• Homology of generalized partition posets
• Post-Lie algebras and isospectral flows
• Structure of real Lie algebras
• Radical d'une algèbre symétrique à gauche
• The Gelfand-Kirillov conjecture for Lie algebras of dimension at most eight
• Semisimple decompositions of Lie algebras and prehomogeneous modules
• Crystallographic actions on Lie groups and post-Lie algebra structures
• Left-symmetric algebras, or pre-Lie algebras in geometry and physics
• Minimal faithful representations of reductive Lie algebras
• LR-algebras
• Low-dimensional real Lie algebras
• Post-Lie algebra structures for nilpotent Lie algebras
• Decompositions of algebras and post-associative algebra structures
• Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras
• Post-Lie algebra structures and generalized derivations of semisimple Lie algebras
• Rigidity results for Lie algebras admitting a post-Lie algebra structure

Related Items (1)

On the transitivity of Lie ideals and a characterization of perfect Lie algebras

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