21 citations · 95 across the 33 of their papers we have counts for
10 papers · 1 filter
Extriangulated ideal quotients, with applications to cluster theory and gentle algebras
Xin Fang, Mikhail Gorsky, Yann Palu +2
We extend results of Brüstle-Yang on ideal quotients of 2-term subcategories of perfect derived categories of non-positive dg algebras to a relative setting. We find a new interpre…
Specialization map for quiver Grassmannians
Giovanni Cerulli Irelli, Francesco Esposito, Xin Fang +1
We define a specialization map between cohomology algebras of quiver Grassmannians of Dynkin type and we prove that it is surjective in type A. This generalizes a result of Lanini…
Exact structures and degeneration of Hall algebras
Xin Fang, Mikhail Gorsky
We study degenerations of the Hall algebras of exact categories induced by degree functions on the set of isomorphism classes of indecomposable objects. We prove that each such deg…
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…
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…
Weighted PBW degenerations and tropical flag varieties
Xin Fang, Evgeny Feigin, Ghislain Fourier +1
We study algebraic, combinatorial and geometric aspects of weighted PBW-type degenerations of (partial) flag varieties in type . These degenerations are labeled by degree functi…
Degree cones and monomial bases of Lie algebras and quantum groups
Teodor Backhaus, Xin Fang, Ghislain Fourier
We provide -filtrations on the negative part of the quantum group associated to a finite-dimensional simple Lie algebra , such that…
Marked chain-order polytopes
Xin Fang, Ghislain Fourier
We introduce in this paper the marked chain-order polytopes associated to a marked poset, generalizing the marked chain polytopes and marked order polytopes by putting them as extr…
Torus fixed points in Schubert varieties and normalized median Genocchi numbers
Xin Fang, Ghislain Fourier
We give a new proof for the fact that the number of torus fixed points for the degenerated flag variety is equal to the normalized median Genocchi number, using the identification…
PBW-type filtration on quantum groups of type
Xin Fang, Ghislain Fourier, Markus Reineke
We will introduce an -filtration on the negative part of a quantum group of type , such that the associated graded algebra is a q-commutative polynomial algebra. T…