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Burde, Dietrich; Moens, Wolfgang Alexander
Journal of algebra, 12/2016, Letnik: 467Journal Article
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, and classify all CPA-structures on complete Lie algebras. As a special case we obtain the CPA-structures of parabolic subalgebras of semisimple Lie algebras.
