Interpolation in Species and a Lift of the Hopf Algebra of r-Quasisymmetric Functions

Abstract

In this manuscript we lift the theory of r-quasisymmetric functions to the theory of Hopf monoids. We provide a general method of interpolating between two Hopf monoids, one being the free monoid on a positive comonoid and the other being the free commutative monoid on a positive comonoid.

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