Gabriel Frieden

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20172024

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4 papers · 1 filter

math.CO2024

$q t$ 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 $q t$ RSK $^{*}$ , depending on two parameters $q$ and $t$ . This correspondenc…

math.CO2022

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…

math.CO2021

$q RS t$ : 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…

math.CO2017

Affine Type $A$ Geometric Crystal on the Grassmannian

Gabriel Frieden

We construct a type $A_{n - 1}^{(1)}$ geometric crystal on the variety $Gr (k, n) \times C^{\times}$ , and show that it tropicalizes to the disjoint union of the Kirillov-R…

qtRSK∗: A probabilistic dual RSK correspondence for Macdonald polynomials

Charmed roots and the Kroweras complement

qRSt: A probabilistic Robinson--Schensted correspondence for Macdonald polynomials (extended abstract)

Affine Type A Geometric Crystal on the Grassmannian

$q t$ RSK $^{*}$ : A probabilistic dual RSK correspondence for Macdonald polynomials

$q RS t$ : A probabilistic Robinson--Schensted correspondence for Macdonald polynomials (extended abstract)

Affine Type $A$ Geometric Crystal on the Grassmannian