Inverse \(K\)-Chevalley formulas for semi-infinite flag manifolds. II: Arbitrary weights in ADE type

DOI10.1016/j.aim.2023.109037zbMath1530.20017arXiv2111.00628MaRDI QIDQ6042803

Satoshi Naito, Daisuke Sagaki, Cristian Lenart, Daniel Orr

Publication date: 4 May 2023

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

Full work available at URL: https://arxiv.org/abs/2111.00628

zbMATH Keywords

quantum Bruhat graphsemi-infinite flag manifold(quantum) Schubert calculusChevalley formula(decorated) quantum walk(quantum) \(K\)-theory

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Hecke algebras and their representations (20C08) 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 (1)

Identities of inverse Chevalley type for the graded characters of level-zero Demazure submodules over quantum affine algebras of type \(C\)

Cites Work

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