279 citations · 786 across the 51 of their papers we have counts for
54 papers
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…
-Symmetric functions, non-symmetric Macdonald polynomials and positivity conjectures
Luc Lapointe
We study the space, , of -symmetric functions consisting of polynomials that are symmetric in the variables but have no special symmetry in…
Multi-Macdonald polynomials
Camilo González, Luc Lapointe
We introduce Macdonald polynomials indexed by -tuples of partitions and characterized by certain orthogonality and triangularity relations. We prove that they can be explicitly…
Hopf algebra structure of symmetric and quasisymmetric functions in superspace
Susanna Fishel, Luc Lapointe, Maria Elena Pinto
We show that the ring of symmetric functions in superspace is a cocommutative and self-dual Hopf algebra. We provide formulas for the action of the coproduct and the antipode on va…
Symmetric functions in superspace: a compendium of results and open problems (including a SageMath worksheet)
Ludovic Alarie-Vezina, Olivier Blondeau-Fournier, Patrick Desrosiers +2
We present a review of the most important results in the theory of symmetric functions in superspace (or symmetric superpolynomials), summarizing all principal contributions since…
The norm and the evaluation of the Macdonald polynomials in superspace
Camilo González, Luc Lapointe
We demonstrate the validity of previously conjectured explicit expressions for the norm and the evaluation of the Macdonald polynomials in superspace. These expressions, which invo…