PreprintCC BY 4.0arXiv
Homotopy operations on higher Lie algebras
Abstract
We determine the multiplicative structures of the homotopy operations on derived Lie algebras, derived restricted Lie algebras and partition Lie algebras, as well as the relation between these. Under Koszul duality, this follows from a calculation of the homotopy operations on derived rings, p-truncated algebras and divided power algebras over π½p.
Related
- Linearisation, splitting property and homotopy algebras
- Koszul duality and homotopy algebras for operads over quivers
- Stable homotopy theory of higher categories with adjoints
- Stable homotopy theory of higher categories
- Anomalies, higher symmetries, and homotopy theory I: crossed precosheaves and a nonabelian Cech construction
BibTeX
@misc{nuiten2026homotopy,
title = {{Homotopy operations on higher Lie algebras}},
author = {Joost Nuiten and Jiaqi Fu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.36942},
eprint = {2610.36942},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.36942},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Homotopy operations on higher Lie algebras
AU - Joost Nuiten
AU - Jiaqi Fu
PY - 2026
DA - 2026/10/27
PB - arXiv
DO - 10.48550/arxiv.2610.36942
UR - https://arxiv.org/abs/2610.36942
AB - We determine the multiplicative structures of the homotopy operations on derived Lie algebras, derived restricted Lie algebras and partition Lie algebras, as well as the relation between these. Under Koszul duality, this follows from a calculation of the homotopy operations on derived rings, p-truncated algebras and divided power algebras over π½_p.
ER -