75 citations · 305 across the 41 of their papers we have counts for
6 papers · 1 filter
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…
Minuscule Schubert varieties: Poset polytopes, PBW-degenerated Demazure modules, and Kogan faces
Rekha Biswal, Ghislain Fourier
We study a family of posets and the associated chain and order polytopes. We identify the order polytope as a maximal Kogan face in a Gelfand-Tsetlin polytope of a multiple of a fu…
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…
The degree of the Hilbert-Poincaré polynomial of PBW-graded modules
Teodor Backhaus, Lara Bossinger, Christian Desczyk +1
In this note, we study the Hilbert-Poincaré polynomials for the PBW-graded of simple modules for a simple complex Lie algebra. The computation of their degree can be reduced to 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…
Schur Positivity and Kirillov-Reshetikhin Modules
Ghislain Fourier, David Hernandez
In this note, inspired by the proof of the Kirillov-Reshetikhin conjecture, we consider tensor products of Kirillov-Reshetikhin modules of a fixed node and various level. We fix a…