Gabriel Frieden

activity

20172022

collaborators

3 papers

math.QA2022

Crystal invariant theory II: Pseudo-energies

Benjamin Brubaker, Gabriel Frieden, Pavlo Pylyavskyy +1

The geometric crystal operators and geometric $R$ -matrices (or geometric Weyl group actions) give commuting actions on the field of rational functions in $mn$ variables. We study t…

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…

Crystal invariant theory II: Pseudo-energies

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

Affine Type A Geometric Crystal on the Grassmannian

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

Affine Type $A$ Geometric Crystal on the Grassmannian