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

2021/10/31 by Cristian Lenart, Satoshi Naito, Lenart, Cristian +5
Mathematics · Computer Science · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2111.00628

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 E₈).

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