21 citations · 95 across the 33 of their papers we have counts for
6 papers · 1 filter
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…
Simplices in Newton-Okounkov bodies and the Gromov width of coadjoint orbits
Xin Fang, Peter Littelmann, Milena Pabiniak
We give a uniform proof for the conjectured Gromov width of coadjoint orbits of all compact connected simple Lie groups, by analyzing simplices in Newton-Okounkov bodies.
Generalized Matsumoto-Tits sections and quantum quasi-shuffle algebras
Xin Fang
In this paper generalized Matsumoto-Tits sections lifting permutations to the algebra associated to a generalized virtual braid monoid are defined. They are then applied to study t…
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…
Vertex-imprimitive symmetric graphs with exactly one edge between any two distinct blocks
Teng Fang, Xin Gui Fang, Binzhou Xia +1
A graph is called -symmetric if it admits as a group of automorphisms acting transitively on the set of ordered pairs of adjacent vertices. We give a classification of $…