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math.RA2015
Commutative post-Lie algebra structures on Lie algebras
Dietrich Burde, Wolfgang Alexander Moens
We show that any CPA-structure (commutative post-Lie algebra structure) on a perfect Lie algebra is trivial. Furthermore we give a general decomposition of inner CPA-structures, an…
math.RA2015
Post-Lie algebra structures on pairs of Lie algebras
Dietrich Burde, Karel Dekimpe
We study post-Lie algebra structures on pairs of Lie algebras , motivated by nil-affine actions of Lie groups. We prove existence results for such stru…