Makhlin polytopes are Demazure string polytopes

arXiv (Cornell University)

Abstract

We show that Makhlin's polytopes in type $B_n$ are unimodularly equivalent to string polytopes for Demazure modules in type $B_{2n-1}$. The proof passes through type $C$, combining Makhlin's diagonal comparison with symplectic FFLV polytopes and the $B/C$ similarity for string cones.

Authors 1

1. Ghislain Fourier corresponding Aachen Chair of Algebra and Representation Theory

   RWTH Aachen University

   Affiliation as printed

   Chair of Algebra and Representation Theory , RWTH Aachen University , Pontdriesch 10-16 , 52062 Aachen , Germany