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VOL. 71 | 2016 Divided difference operators on polytopes
Valentina Kiritchenko

Editor(s) Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

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

Rights: Copyright © 2016 Mathematical Society of Japan

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