Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds

DOI10.1016/j.aim.2021.107828OpenAlexW3172528150MaRDI QIDQ2037605

Daniel Orr, Daisuke Sagaki, Satoshi Naito

Publication date: 8 July 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.01468

zbMATH Keywords

semi-infinite flag manifoldMonk formula(quantum) Schubert calculusChevalley formulasemi-infinite LS path

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Grassmannians, Schubert varieties, flag manifolds (14M15) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Classical problems, Schubert calculus (14N15)

Related Items (11)

Chevalley formula for anti-dominant minuscule fundamental weights in the equivariant quantum \(K\)-group of partial flag manifolds ⋮ Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type ⋮ New structure on the quantum alcove model with applications to representation theory and Schubert calculus ⋮ A combinatorial Chevalley formula for semi-infinite flag manifolds and its applications ⋮ Equivariant \(K\)-theory of the semi-infinite flag manifold as a nil-DAHA module ⋮ Closed 𝑘-Schur Katalan functions as 𝐾-homology Schubert representatives of the affine Grassmannian ⋮ Identities of inverse Chevalley type for the graded characters of level-zero Demazure submodules over quantum affine algebras of type \(C\) ⋮ Generalized quantum Yang-Baxter moves and their application to Schubert calculus ⋮ Level-zero van der Kallen modules and specialization of nonsymmetric Macdonald polynomials at \(t=\infty\) ⋮ Tensor product decomposition theorem for quantum Lakshmibai-Seshadri paths and standard monomial theory for semi-infinite Lakshmibai-Seshadri paths ⋮ InverseK-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type

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