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

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 Added by Pasha Zusmanovich
 Publication date 2018
  fields
and research's language is English




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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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