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arXiv · 1805.04267

Commutative post-Lie algebra structures on Kac--Moody algebras

Dietrich Burde·Pasha Zusmanovich
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Abstract

We determine commutative post-Lie algebra structures on some infinite-dimensional Lie algebras. We show that all commutative post-Lie algebra structures on loop algebras are trivial. This extends the results for finite-dimensional perfect Lie algebras. Furthermore we show that all commutative post-Lie algebra structures on affine Kac--Moody Lie algebras are "almost trivial".

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Dietrich Burde, Pasha Zusmanovich. 2018-05-11. Commutative post-Lie algebra structures on Kac--Moody algebras. https://doi.org/10.1080/00927872.2019.1612426

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