A general Chevalley formula for semi-infinite flag manifolds and quantum \(K\)-theory

DOI10.1007/S00029-024-00924-8MaRDI QIDQ6128543

Daisuke Sagaki, Satoshi Naito, Cristian Lenart

Publication date: 15 April 2024

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

zbMATH Keywords

quantum \(K\)-theoryquantum Bruhat graphquantum alcove modelsemi-infinite flag manifoldChevalley formulaquantum LS pathsquantum Grothendieck polynomials

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Grassmannians, Schubert varieties, flag manifolds (14M15) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Classical problems, Schubert calculus (14N15) Combinatorial aspects of algebraic geometry (05E14)

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