1 citations · 2 across the 4 of their papers we have counts for
11 papers
Lusztig polytopes and FFLV polytopes
Xin Fang, Gleb Koshevoy
In this paper we prove that in type , the Feigin-Fourier-Littelmann-Vinberg (FFLV) polytope coincides with the Minkowski sum of Lusztig polytopes arising from various redu…
Cones from quantum groups to tropical flag varieties
Xin Fang, Ghislain Fourier, Markus Reineke
We relate quantum degree cones, parametrizing PBW degenerations of quantized enveloping algebras, to (negative tight monomial) cones introduced by Lusztig in the study of monomials…
Linear degenerations of flag varieties: partial flags, defining equations, and group actions
Giovanni Cerulli Irelli, Xin Fang, Evgeny Feigin +2
We continue, generalize and expand our study of linear degenerations of flag varieties from [G. Cerulli Irelli, X. Fang, E. Feigin, G. Fourier, M. Reineke, Math. Z. 287 (2017), no.…
On -distance-transitive graphs
Hui Zhou, Cheryl Praeger, Michael Giudici +2
Distance-regular graphs have many beautiful combinatorial properties. Distance-transitive graphs have very strong symmetries, and they are distance-regular, i.e. distance-transitiv…
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…