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arXiv · 2011.13002

Unstable algebras over an operad II

Sacha Ikonicoff
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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 '$q$-level' operads which allows us to identify unstable modules studied by Brown--Gitler, Miller and Carlsson to free unstable $q$-level algebras.

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Sacha Ikonicoff. 2020-11-25. Unstable algebras over an operad II. https://arxiv.org/abs/2011.13002

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