Author:
GENZ V.,KOSHEVOY G.,SCHUMANN B.
Abstract
AbstractWe give a formula for the crystal structure on the integer points of the string polytopes and the *-crystal structure on the integer points of the string cones of type A for arbitrary reduced words. As a byproduct, we obtain defining inequalities for Nakashima–Zelevinsky string polytopes. Furthermore, we give an explicit description of the Kashiwara *-involution on string data for a special choice of reduced word.
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Algebra and Number Theory