Post-Lie algebra structures and generalized derivations of semisimple Lie algebras

zbMath1345.17011arXiv1108.5950MaRDI QIDQ5404540

Karel Dekimpe, Dietrich Burde

Publication date: 25 March 2014

Full work available at URL: https://arxiv.org/abs/1108.5950

Mathematics Subject Classification ID

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

Related Items (23)

Semisimple decompositions of Lie algebras and prehomogeneous modules ⋮ Commutative post-Lie algebra structures on Lie algebras ⋮ Generalized derivations and Hom-Lie algebra structures on sl2 ⋮ Post-symmetric braces and integration of post-Lie algebras ⋮ A Zassenhaus conjecture and CPA-structures on simple modular Lie algebras ⋮ Functorial PBW theorems for post-Lie algebras ⋮ Generalized derivations and some structure theorems for Lie algebras ⋮ Counterexamples to the Zassenhaus conjecture on simple modular Lie algebras ⋮ On (reverse) \((\alpha,\beta,\gamma)\)-derivations of associative algebras ⋮ Rota-Baxter operators on groups ⋮ Affine actions on Lie groups and post-Lie algebra structures ⋮ Rota–Baxter operators on a sum of fields ⋮ Commutative post-Lie algebra structures and linear equations for nilpotent Lie algebras ⋮ Cacti and filtered distributive laws ⋮ Crystallographic actions on Lie groups and post-Lie algebra structures ⋮ Post-Lie algebra structures for nilpotent Lie algebras ⋮ Derivation double Lie algebras ⋮ Post-Lie algebra structures on pairs of Lie algebras ⋮ Post-Lie algebra structures on solvable Lie algebra \(t(2, \mathbb{C})\) ⋮ Rota–Baxter operators and post-Lie algebra structures on semisimple Lie algebras ⋮ Post-Lie algebra structures on the Lie algebra \(g l(2, C)\) ⋮ Commutative post-Lie algebra structures on nilpotent Lie algebras and Poisson algebras ⋮ Rigidity results for Lie algebras admitting a post-Lie algebra structure

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