English

Unstable algebras over an operad II

Algebraic Topology 2022-11-18 v3

Abstract

We introduce a notion of unstable algebra over an operad in general characteristic. We show that the unstable algebra freely generated by an unstable module is itself a free algebra under suitable conditions. We introduce a family of 'qq-level' operads which allows us to identify unstable modules studied by Brown--Gitler, Miller and Carlsson to free unstable qq-level algebras.

Keywords

Cite

@article{arxiv.2011.13002,
  title  = {Unstable algebras over an operad II},
  author = {Sacha Ikonicoff},
  journal= {arXiv preprint arXiv:2011.13002},
  year   = {2022}
}
R2 v1 2026-06-23T20:30:57.385Z