Commutative post-Lie algebra structures on Kac--Moody algebras
Rings and Algebras
2019-12-10 v2
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".
Cite
@article{arxiv.1805.04267,
title = {Commutative post-Lie algebra structures on Kac--Moody algebras},
author = {Dietrich Burde and Pasha Zusmanovich},
journal= {arXiv preprint arXiv:1805.04267},
year = {2019}
}
Comments
8 pages; to appear in Comm. Algebra; v2: minor changes