On Mirković-Vilonen cycles and crystals combinatorics

Pierre Baumann, Stéphane Gaussent

Let $G$ be a complex reductive group and let $G^{\vee }$ be its Langlands dual. Let us choose a triangular decomposition $\mathfrak g^\vee=\mathfrak n^\vee_-\oplus\mathfrak h^\vee\opl…