3 citations · 8 across the 9 of their papers we have counts for
6 papers · 1 filter
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…
A class of left quantum groups modeled after SL_q(n)
Aaron Lauve, Earl J. Taft
For each n >1, we construct a left quantum group, i.e., a left Hopf algebra H generated by comatrix units X_{ij} and modeled after SL_q(n), which has a left antipode but no right a…
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…
Hopf quivers and Nichols algebras in positive characteristic
Claude Cibils, Aaron Lauve, Sarah Witherspoon
We apply a combinatorial formula of the first author and Rosso, for products in Hopf quiver algebras, to determine the structure of Nichols algebras. We illustrate this technique b…