Kleshchev multipartitions, affine Mirković-Vilonen polytopes, and representations of KLR algebras in type ${\mathtt{A}}_1^{(1)}$

Samantha Allen, Jack Isaac, Corinne Moscariello +3

We construct explicit isomorphisms between three models for the $B(\infty )$ crystal in type ${\mathtt{A}}_1^{(1)}$: affine Mirković--Vilonen polytopes, Kleshchev multipartitions, and a…