PreprintarXiv licencearXiv
Failure of Ado-type theorems for preLie and postLie algebras
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.
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BibTeX
@misc{gubarev2026failure,
title = {{Failure of Ado-type theorems for preLie and postLie algebras}},
author = {Vsevolod Gubarev},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.29582},
eprint = {2609.29582},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.29582},
}
RIS
TY - UNPB
TI - Failure of Ado-type theorems for preLie and postLie algebras
AU - Vsevolod Gubarev
PY - 2026
DA - 2026/09/01
PB - arXiv
DO - 10.48550/arxiv.2609.29582
UR - https://arxiv.org/abs/2609.29582
AB - 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.
ER -