Divided power algebras and distributive laws
Algebraic Topology
2021-07-28 v2 Rings and Algebras
Abstract
We study the divided power structures over a product of operads with distributive law. We give a systematic method to characterise the divided power algebras over such a product from the structures of divided power algebra coming from each of the the factor operads. We characterise divided power algebras with operadic derivation, as well as divided power -level algebras in characteristic , and divided power Poisson algebras in characteristic 3.
Cite
@article{arxiv.2104.11736,
title = {Divided power algebras and distributive laws},
author = {Sacha Ikonicoff},
journal= {arXiv preprint arXiv:2104.11736},
year = {2021}
}
Comments
24 pages, 7 pages of appendix and reference