105 citations · 167 across the 23 of their papers we have counts for
4 papers · 2 filters
Hopf structures on the multiplihedra
Stefan Forcey, Aaron Lauve, Frank Sottile
We investigate algebraic structures that can be placed on vertices of the multiplihedra, a family of polytopes originating in the study of higher categories and homotopy theory. Mo…
Invariant and coinvariant spaces for the algebra of symmetric polynomials in non-commuting variables
Francois Bergeron, Aaron Lauve
We analyze the structure of the algebra N of symmetric polynomials in non-commuting variables in so far as it relates to its commutative counterpart. Using the "place-action" of th…
New Hopf Structures on Binary Trees (Extended Abstract)
Stefan Forcey, Aaron Lauve, Frank Sottile
The multiplihedra {M_n} form a family of polytopes originating in the study of higher categories and homotopy theory. While the multiplihedra may be unfamiliar to the algebraic com…
Skew Littlewood-Richardson rules from Hopf algebras
Thomas Lam, Aaron Lauve, Frank Sottile
We use Hopf algebras to prove a version of the Littlewood-Richardson rule for skew Schur functions, which implies a conjecture of Assaf and McNamara. We also establish skew Littlew…