Article ID Journal Published Year Pages File Type
4587939 Journal of Algebra 2008 30 Pages PDF
Abstract

We give an explicit description of the (lowering) Kashiwara operators on Mirković–Vilonen polytopes in types B and C, which provides a simple method for generating Mirković–Vilonen polytopes inductively. This description can be thought of as a modification of the one in the original Anderson–Mirković conjecture, which Kamnitzer proved in the case of type A, and presented a counterexample in the case of type C3.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory