Inverse $K$-Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type
Quantum Algebra
2021-11-02 v1 Algebraic Geometry
Combinatorics
Representation Theory
Abstract
We continue the study, begun in [Kouno-Naito-Orr-Sagaki, 2021], of inverse Chevalley formulas for the equivariant -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 ).
Keywords
Cite
@article{arxiv.2111.00628,
title = {Inverse $K$-Chevalley formulas for semi-infinite flag manifolds, II: arbitrary weights in ADE type},
author = {Cristian Lenart and Satoshi Naito and Daniel Orr and Daisuke Sagaki},
journal= {arXiv preprint arXiv:2111.00628},
year = {2021}
}