Divided difference operators on polytopes
Algebraic Geometry
2019-02-08 v1 Representation Theory
Abstract
We define convex-geometric counterparts of divided difference (or Demazure) operators from the Schubert calculus and representation theory. These operators are used to construct inductively polytopes that capture Demazure characters of representations of reductive groups. In particular, Gelfand-Zetlin polytopes and twisted cubes of Grossberg-Karshon are obtained in a uniform way.
Cite
@article{arxiv.1307.7234,
title = {Divided difference operators on polytopes},
author = {Valentina Kiritchenko},
journal= {arXiv preprint arXiv:1307.7234},
year = {2019}
}
Comments
20 pages, 5 figures