20 citations · 64 across the 20 of their papers we have counts for
23 papers
A basis for the Diagonal Harmonic Alternants
Adriano Garsia, Mike Zabrocki
It will be shown here that there are differential operators and for each , acting on Diagonal Harmonics, yielding that is a representation of …
Galoisian Galois Theory
A. Garsia
These notes are an exposition of Galois Theory from the original Lagrangian and Galoisian point of view. A particular effort was made here to better understand the connection betwe…
Robinson-Schensted Algorithms Obtained from Tableau Recursions
Adriano M. Garsia, Timothy J. McLarnan
The numbers of standard tableaux of shape satisfy 2 fundamental recursions: and , where and run over all…
Fibonacci polynomials
A. Garsia, G. Ganzberger
The Fibonacci polynomials have been studied in multiple ways. In this paper we study them by means of the theory of Heaps of Viennot. In this setting…
-Positivity Results and Conjectures
Adriano M. Garsia, James Haglund, Dun Qiu +1
In a 2016 ArXiv posting F. Bergeron listed a variety of symmetric functions with the property that is -positive. A large subvariety of his examples could be…
On the Sweep Map for Fuss Rational Dyck Paths
Adriano M. Garsia, Guoce Xin
Our main contribution here is the discovery of a new family of standard Young tableaux which are in bijection with the family of Rational Dyck path…