6 citations · 12 across the 6 of their papers we have counts for
6 papers
Toric degenerations of Gr(2,n) and Gr(3,6) via plabic graphs
Lara Bossinger, Xin Fang, Ghislain Fourier +2
We establish an explicit bijection between the toric degenerations of the Grassmannian arising from maximal cones in tropical Grassmannians and the ones coming f…
On toric degenerations of flag varieties
Xin Fang, Ghislain Fourier, Peter Littelmann
Following the historical track in pursuing -equivariant flat toric degenerations of flag varieties and spherical varieties, we explain how powerful tools in algebraic geometry a…
Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence
Ghislain Fourier
We analyze marked poset polytopes and generalize a result due to Hibi and Li, answering whether the marked chain polytope is unimodular equivalent to the marked order polytope. Bot…
PBW-degenerated Demazure modules and Schubert varieties for triangular elements
Ghislain Fourier
We study certain faces of the normal polytope introduced by Feigin, Littelmann and the author whose lattice points parametrize a monomial basis of the PBW-degenerated of simple mod…
New homogeneous ideals for current algebras: filtrations, fusion products and Pieri rules
Ghislain Fourier
New graded modules for the current algebra of are introduced. Relating these modules to the fusion product of simple -modules and local Weyl modu…
PBW--filtration over $\bz$ and compatible bases for $V_\bz(\la)$ in type and
Evgeny Feigin, Ghislain Fourier, Peter Littelmann
We study the PBW-filtration on the highest weight representations $V(\la)$ of the Lie algebras of type and . This filtration is induced by the standard d…