Publications (26)
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
Marcelo Aguiar, Carlos Andre, Carolina Benedetti +25
Hopf monoids and generalized permutahedra
Marcelo Aguiar, Federico Ardila
Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
Marcelo Aguiar, Frank Sottile
The peak algebra and the descent algebras of types B and D
Marcelo Aguiar, Nantel Bergeron, Kathryn Nyman
Combinatorial Hopf algebras and generalized Dehn-Sommerville relations
Marcelo Aguiar, Nantel Bergeron, Frank Sottile
Hopf monoids in the category of species
Marcelo Aguiar, Swapneel Mahajan
The Steinberg torus of a Weyl group as a module over the Coxeter complex
Marcelo Aguiar, T. Kyle Petersen
The associative operad and the weak order on the symmetric groups
Marcelo Aguiar, Muriel Livernet
Characteristic elements for real hyperplane arrangements
Marcelo Aguiar, Jose Bastidas, Swapneel Mahajan
The smash product of symmetric functions. Extended abstract
Marcelo Aguiar, Walter Ferrer, Walter Moreira
Hopf monoids from class functions on unitriangular matrices
Marcelo Aguiar, Nantel Bergeron, Nathaniel Thiem
Canonical characters on quasi-symmetric functions and bivariate Catalan numbers
Marcelo Aguiar, Samuel K. Hsiao
Quadri-algebras
Marcelo Aguiar, Jean-Louis Loday
Cocommutative Hopf algebras of permutations and trees
Marcelo Aguiar, Frank Sottile
Representations of matched pairs of groupoids and applications to weak Hopf algebras
Marcelo Aguiar, Nicolas Andruskiewitsch
Unital versions of the higher order peak algebras
Marcelo Aguiar, Jean-Christophe Novelli, Jean-Yves Thibon
Combinatorics of the free Baxter algebra
Marcelo Aguiar, Walter Moreira
The Hopf algebra of uniform block permutations. Extended abstract
Marcelo Aguiar, Rosa C. Orellana
Monads on higher monoidal categories
Marcelo Aguiar, Mariana Haim, Ignacio Lopez Franco
Infinitesimal bialgebras, pre-Lie and dendriform algebras
Marcelo Aguiar
The characteristic polynomial of the Adams operators on graded connected Hopf algebras
Marcelo Aguiar, Aaron Lauve
Structure of the Malvenuto-Reutenauer Hopf algebra of permutations (Extended Abstract)
Marcelo Aguiar, Frank Sottile
Structure of the Loday-Ronco Hopf algebra of trees
Marcelo Aguiar, Frank Sottile
New results on the peak algebra
Marcelo Aguiar, Kathryn Nyman, Rosa Orellana
The Heisenberg product: from Hopf algebras and species to symmetric functions
Marcelo Aguiar, Walter Ferrer Santos, Walter Moreira
Generalized Hopf Modules for bimonads
Marcelo Aguiar, Stephen U. Chase