On realisations of the Steenrod algebras
Algebraic Geometry
2025-09-15 v2
Abstract
The Steenrod algebra can not be realised as an enveloping of any Lie superalgebra. We list several problems that suggest a need to modify the definition of the enveloping algebra, for example, to get rid of certain strange deformations which we qualify as an artefact of the inadequate definition of the enveloping algebra in positive characteristic. P. Deligne appended our paper with his comments, hints and open problems.
Cite
@article{arxiv.2509.09443,
title = {On realisations of the Steenrod algebras},
author = {Alexei Lebedev and Dimitry Leites},
journal= {arXiv preprint arXiv:2509.09443},
year = {2025}
}
Comments
10 pages, important references added; v2: typos corrected