A modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and C

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/154495We 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 original Anderson-Mirković conjecture, which Kamnitzer proved in the case of type $A$, and presented a counterexample in the case of type $C_{3}$.Quantum AlgebraRepresentation TheoryA modification of the Anderson-Mirkovic conjecture for Mirkovic-Vilonen polytopes in types B and Ctext