5 citations · 17 across the 15 of their papers we have counts for
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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…