75 citations · 305 across the 41 of their papers we have counts for
4 papers · 1 filter
Essential bases and toric degenerations arising from birational sequences
Xin Fang, Ghislain Fourier, Peter Littelmann
We present a new approach to construct -equivariant flat toric degenerations of flag varieties and spherical varieties, combining ideas coming from the theory of Newton-Okounkov…
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…