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Plethysms and operads
[article]
2020
arXiv
pre-print
We introduce the 𝒯-construction, an endofunctor on the category of generalized operads as a general mechanism by which various notions of plethystic substitution arise from more ordinary notions of substitution. In the special case of one-object unary operads, i.e. monoids, we recover the T-construction of Giraudo. We realize several kinds of plethysm as convolution products arising from the homotopy cardinality of the incidence bialgebra of the bar construction of various operads obtained from
arXiv:2008.09798v2
fatcat:nfixhhk3wze2jk2m365mzkdiym