PreprintCC BY 4.0HAL
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{fu2026homotopy,
title = {{Homotopy operations on higher Lie algebras}},
author = {Jiaqi Fu and Joost Nuiten},
howpublished = {HAL},
year = {2026},
month = oct,
url = {https://hal.science/hal-05840626v1},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Homotopy operations on higher Lie algebras
AU - Jiaqi Fu
AU - Joost Nuiten
PY - 2026
DA - 2026/10/27
PB - HAL
UR - https://hal.science/hal-05840626v1
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 -