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”.
2010 MATHEMATICS SUBJECT CLASSIFICATION:
Acknowledgement
Thanks are due to the referee for helpful remarks which improved the presentation.