2020/11/25 by Sacha Ikonicoff, Ikonicoff, Sacha
Mathematics · #17A30 (Secondary) #55S10 (Primary) 18M70 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.2011.13002
openalex publication_date 2020/11/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.