Affine Hecke algebras and the Schubert calculus

DOI10.1016/j.ejc.2003.10.012zbMath1076.14068arXivmath/0405333OpenAlexW2103566835MaRDI QIDQ1888297

Arun Ram, Stephen Griffeth

Publication date: 23 November 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0405333

zbMATH Keywords

\(K\)-theorySchubert varietiesflag varietyaffine Hecke algebras

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Grassmannians, Schubert varieties, flag manifolds (14M15) Equivariant (K)-theory (19L47) Applications of methods of algebraic (K)-theory in algebraic geometry (14C35)

Related Items (14)

Shadows in the wild - folded galleries and their applications ⋮ Positivity and Kleiman transversality in equivariant \(K\)-theory of homogeneous spaces ⋮ Quantum \(K\)-theory of Grassmannians ⋮ Cherednik, Hecke and quantum algebras as free Frobenius and Calabi-Yau extensions ⋮ Quantum integrability and generalised quantum Schubert calculus ⋮ Positivity in \(T\)-equivariant \(K\)-theory of flag varieties associated to Kac-Moody groups ⋮ Equivariant \(K\)-theory of Bott towers. Application to the multiplicative structure of the equivariant \(K\)-theory of flag varieties ⋮ Equivariant K-theory of quaternionic flag manifolds ⋮ Chevalley formula for anti-dominant weights in the equivariant \(K\)-theory of semi-infinite flag manifolds ⋮ Chern class formulas for $G_{2}$ Schubert loci ⋮ A Pieri-type formula for the ${K}$-theory of a flag manifold ⋮ InverseK-Chevalley formulas for semi-infinite flag manifolds, I: minuscule weights in ADE type ⋮ Excited Young diagrams, equivariant $K$-theory, and Schubert varieties ⋮ Positivity in 𝑇-equivariant 𝐾-theory of flag varieties associated to Kac-Moody groups II

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