Rigidity results for Lie algebras admitting a post-Lie algebra structure

DOI10.1142/S0218196722500679OpenAlexW4295137676WikidataQ115245882 ScholiaQ115245882MaRDI QIDQ5871378

Mina Monadjem, Karel Dekimpe, Dietrich Burde

Publication date: 19 January 2023

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.04218

zbMATH Keywords

reductive Lie algebracomplete Lie algebrapost-Lie algebra

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
• Variante d'un théorème de H. Ozeki
• Left-invariant affine structures on reductive Lie groups
• Semisimple decompositions of Lie algebras and prehomogeneous modules
• Crystallographic actions on Lie groups and post-Lie algebra structures
• LR-algebras
• Left-symmetric algebras for 𝔤𝔩(𝔫)
• On The Derived Length of Finite Dinilpotent Groups
• 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
• Inclusion relations among transitive compact transformation groups
• DECOMPOSITIONS OF REDUCTIVE LIE GROUPS

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