Inverse $K$-Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type

Abstract

We continue the study, begun in [KoNOS], of inverse Chevalley formulas for the equivariant K-group of semi-infinite flag manifolds. Using the language of alcove paths, we reformulate and extend our combinatorial inverse Chevalley formula to arbitrary weights in all simply-laced types (conjecturally also for E8).