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.
Information
Published: 1 January 2016
First available in Project Euclid: 4 October 2018
zbMATH: 1388.52007
MathSciNet: MR3644823
Digital Object Identifier: 10.2969/aspm/07110161
Keywords:
Demazure character
,
divided difference operator
,
Gelfand–Zetlin polytope
Rights: Copyright © 2016 Mathematical Society of Japan
