105 citations · 167 across the 23 of their papers we have counts for
26 papers
Fence Posets, Good Gradings and Frobenius Maximal Parabolics
Anthony Giaquinto, John Irving, Aaron Lauve +1
Let be a Frobenius maximal parabolic subalgebra of . For any for which the Kirillov form is non-degenerate, l…
Hopf substitutions in Species
Aaron Lauve, Anthony Lazzeroni
In the theory of species, the species of linear orders and the substitution operation combine for a compelling result: given any positive comonoid…
Interpolation in Species and a Lift of the Hopf Algebra of r-Quasisymmetric Functions
Aaron Lauve, Anthony Lazzeroni
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…
Rational series in the free group and the Connes operator
Aaron Lauve, Christophe Reutenauer
We characterize rational series over the free group by using an operator introduced by A. Connes. We prove that rational Malcev--Neumann series posses rational expressions without…
Bialgebra Coverings and Transfer of Structure
Aaron Lauve, Mitja Mastnak
We introduce the bicategory of bialgebras with coverings (which can be thought of as coalgebra-indexed families of morphisms), and provide a motivating application to the transfer…
Canonical idempotents of multiplicity-free families of algebras
Stephen Doty, Aaron Lauve, George H. Seelinger
Any multiplicity-free family of finite dimensional algebras has a canonical complete set of of pairwise orthogonal primitive idempotents in each level. We give various methods to c…