On the fvectors of GelfandCetlin polytopes
Abstract
A GelfandCetlin polytope is a convex polytope obtained as an image of certain completely integrable system on a partial flag variety. In this paper, we give an equivalent description of the face structure of a GCpolytope in terms of so called the face structure of a ladder diagram. Using our description, we obtain a partial differential equation whose solution is the exponential generating function of fvectors of GCpolytopes. This solves the open problem (2) posed by Gusev, Kritchenko, and Timorin in [GKT].
 Publication:

arXiv eprints
 Pub Date:
 June 2016
 arXiv:
 arXiv:1606.05957
 Bibcode:
 2016arXiv160605957A
 Keywords:

 Mathematics  Combinatorics;
 Mathematics  Algebraic Geometry;
 Mathematics  Symplectic Geometry;
 15A15;
 14M15
 EPrint:
 14 pages