Failure of Ado-type theorems for preLie and postLie algebras
arXiv:2609.29582
Abstract
Over an arbitrary field of characteristic zero, we construct a two-dimensional preLie algebra and a two-dimensional postLie algebra that do not embed into the corresponding induced structures of any finite-dimensional preassociative or postassociative algebra, respectively.
arXiv comment11 p.; ChatGPT was used