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

2021/10/31 by Cristian Lenart, Lenart, Cristian, Satoshi Naito +6 · 1 citation
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebra over a field #Equivariant map #Flag (linear algebra) #Geology #Geometric and Algebraic Topology #Geometry #Inverse #Mathematics #Pure mathematics #Topological and Geometric Data Analysis #Type (biology) #math.AG #math.CO #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.2111.00628

published in arXiv (Cornell University) (Cornell University)

arxiv created 2021/10/31 · arxiv updated 2021/11/02

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).

Cited by

• Explicit description of certain 3-point K-theoretic Gromov-Witten invariants for flag manifolds

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