5 citations · 6 across the 8 of their papers we have counts for
11 papers
RSK: A probabilistic dual RSK correspondence for Macdonald polynomials
Gabriel Frieden, Florian Schreier-Aigner
We introduce a probabilistic generalization of the dual Robinson--Schensted--Knuth correspondence, called RSK, depending on two parameters and . This correspondenc…
Charmed roots and the Kroweras complement
Benjamin Dequêne, Gabriel Frieden, Alessandro Iraci +3
Although both noncrossing partitions and nonnesting partitions are uniformly enumerated for Weyl groups, the exact relationship between these two sets of combinatorial objects rema…
Crystal invariant theory II: Pseudo-energies
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
The geometric crystal operators and geometric -matrices (or geometric Weyl group actions) give commuting actions on the field of rational functions in variables. We study t…
Crystal invariant theory I: Geometric RSK
Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1
Berenstein and Kazhdan's theory of geometric crystals gives rise to two commuting families of geometric crystal operators acting on the space of complex matrices. Thes…
Cones and ping-pong in three dimensions
Gabriel Frieden, Félix Gélinas, Étienne Soucy
We study the hypergeometric group in with parameters and . We give a new proof that this group is…
: A probabilistic Robinson--Schensted correspondence for Macdonald polynomials (extended abstract)
Florian Aigner, Gabriel Frieden
We present a probabilistic generalization of the Robinson--Schensted correspondence in which a permutation maps to several different pairs of standard Young tableaux with nonzero p…
: A probabilistic Robinson--Schensted correspondence for Macdonald polynomials
Florian Aigner, Gabriel Frieden
We present a probabilistic generalization of the Robinson--Schensted correspondence in which a permutation maps to several different pairs of standard Young tableaux with nonzero p…
An affine generalization of evacuation
M. Chmutov, G. Frieden, D. Kim +2
We establish the existence of an involution on tabloids that is analogous to Schutzenberger's evacuation map on standard Young tableaux. We find that the number of its fixed points…
The geometric -matrix for affine crystals of type
Gabriel Frieden
In [Frieden, arXiv:1706.02844], we constructed a geometric crystal on the variety which tropicalizes to the affine crysta…
Affine Type Geometric Crystal on the Grassmannian
Gabriel Frieden
We construct a type geometric crystal on the variety , and show that it tropicalizes to the disjoint union of the Kirillov-R…
A Ratio of Alternants Formula for Loop Schur Functions
Gabriel Frieden
Lam and Pylyavskyy introduced loop symmetric functions as a generalization of symmetric functions. They defined loop Schur functions as generating functions over semistandard table…