5 citations · 13 across the 6 of their papers we have counts for
6 papers
Shellings of Unbounded Polyhedra
George Balla, Michael Joswig, Lena Weis
The shellability of the boundary complex of an unbounded polyhedron is investigated. To this end, it is necessary to study suitable compactifications first. Results on polyhedra ca…
Regular subdivisions, bounds on initial ideals, and categorical limits
George Balla, Daniel Corey, Igor Makhlin +1
Several known constructions relate initial degenerations of projective toric varieties and Grassmannians to regular subdivisions of appropriate point configurations. We define a ge…
Tropical symplectic flag varieties: a Lie-theoretic approach
George Balla, Xin Fang
We study tropicalization of symplectic flag varieties with respect to the Plücker embedding. We identify a particular maximal prime cone in this tropicalization by explicitly givin…
PBW filtration and monomial bases for Demazure modules in types A and C
George Balla, Ghislain Fourier, Kunda Kambaso
We characterise the symplectic Weyl group elements such that the FFLV basis is compatible with the PBW filtration on symplectic Demazure modules, extending type A results by the se…
The tropical symplectic Grassmannian
George Balla, Jorge Alberto Olarte
We launch the study of the tropicalization of the symplectic Grassmannian, that is, the space of all linear subspaces that are isotropic with respect to a fixed symplectic form. We…
Symplectic PBW Degenerate Flag Varieties; PBW Tableaux and Defining Equations
George Balla
We define a set of PBW-semistandard tableaux that is in a weight preserving bijection with the set of monomials corresponding to integral points in the Feigin-Fourier-Littelmann-Vi…