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arXiv · 2111.00628

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

Cristian Lenart·Satoshi Naito·Daniel Orr·Daisuke Sagaki
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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 $E_8$).

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Cristian Lenart, Satoshi Naito, Daniel Orr, Daisuke Sagaki. 2021-10-31. Inverse $K$-Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type. https://arxiv.org/abs/2111.00628

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