105 citations · 633 across the 54 of their papers we have counts for
59 papers
Rook characters as symmetric functions
Rosa Orellana, Alexander N. Wilson, Mike Zabrocki
We give several characterizations of an inhomogeneous basis of the ring of symmetric functions whose evaluations are the character values of the irreducible representations of the…
A memorial tribute: Adriano Garsia (1928--2024)
Hélène Barcelo, François Bergeron, Nantel Bergeron +15
Adriano Mario Garsia was born in Tunis on August 20, 1928, to a Tunisian-Italian family. He lived on a farm there until the end of World War II, then moved to Rome. After finishing…
A geometric and generating function approach to plethysm
Álvaro Gutiérrez, Rosa Orellana, Franco Saliola +2
Plethysm coefficients are the structure coefficients of the plethysm of Schur functions . We study a bivariate gener…
When are Hopf algebras determined by integer sequences?
Nicolas Andrews, Lucas Gagnon, Félix Gélinas +2
We study the category of graded Hopf algebras that are free noncommutative, cocommutative, graded and connected from the perspective of the sequences of dimensions of the graded pi…
The lattice of submonoids of the uniform block permutations containing the symmetric group
Rosa Orellana, Franco Saliola, Anne Schilling +1
We study the lattice of submonoids of the uniform block permutation monoid containing the symmetric group (which is its group of units). We prove that this lattice is distributive…
From quasi-symmetric to Schur expansions with applications to symmetric chain decompositions and plethysm
Rosa Orellana, Franco Saliola, Anne Schilling +1
It is an important problem in algebraic combinatorics to deduce the Schur function expansion of a symmetric function whose expansion in terms of the fundamental quasisymmetric func…