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Inverse $K$-Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type (2111.00628v1)
Published 31 Oct 2021 in math.QA, math.AG, math.CO, and math.RT
Abstract: We continue the study, begun in [Kouno-Naito-Orr-Sagaki, 2021], 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 $E_8$).