105 citations · 167 across the 23 of their papers we have counts for
5 papers · 1 filter
Cofree compositions of coalgebras (extended abstract)
Stefan Forcey, Aaron Lauve, Frank Sottile
We develop the notion of the composition of two coalgebras, which arises naturally in higher category theory and the theory of species. We prove that the composition of two cofree…
Cofree compositions of coalgebras
Stefan Forcey, Aaron Lauve, Frank Sottile
We develop the notion of the composition of two coalgebras, which arises naturally in higher category theory and in the theory of species. We prove that the composition of two cofr…
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25
We identify two seemingly disparate structures: supercharacters, a useful way of doing Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a fi…
The primitives and antipode in the Hopf algebra of symmetric functions in noncommuting variables
Aaron Lauve, Mitja Mastnak
We identify a collection of primitive elements generating the Hopf algebra NCSym of symmetric functions in noncommuting variables and give a combinatorial formula for the antipode.
QSym over Sym has a stable basis
Aaron Lauve, Sarah Mason
We prove that the subset of quasisymmetric polynomials conjectured by Bergeron and Reutenauer to be a basis for the coinvariant space of quasisymmetric polynomials is indeed a basi…