2021/04/23 by Ikonicoff, Sacha
#18M70 (Primary) 17A30 #55S99 #Algebraic Topology (math.AT) #FOS: Mathematics #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2104.11736
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 p-level algebras in characteristic p, and divided power Poisson algebras in characteristic 3.