75 citations · 305 across the 41 of their papers we have counts for
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PBW degenerations of Lie superalgebras and their typical representations
Ghislain Fourier, Deniz Kus
We introduce the PBW degeneration for basic classical Lie superalgebras and construct for all type I, and exceptional Lie superalgebras new monomial bases. T…
Degenerate Schubert Varieties in Type A
Rocco Chirivi', Xin Fang, Ghislain Fourier
We introduce rectangular elements in the symmetric group. In the framework of PBW degenerations, we show that in type A the degenerate Schubert variety associated to a rectangular…
The Minkowski Property and Reflexivity of Marked Poset Polytopes
Xin Fang, Ghislain Fourier, Christoph Pegel
We provide a Minkowski sum decomposition of marked chain-order polytopes into building blocks associated to elementary markings and thus give an explicit minimal set of generators…
Symmetries on plabic graphs and associated polytopes
Xin Fang, Ghislain Fourier
For Grassmann varieties, we explain how the duality between the Gelfand-Tsetlin polytopes and the Feigin-Fourier-Littelmann-Vinberg polytopes arises from different positive structu…