Equivariant \(K\)-theory of affine flag manifolds and affine Grothendieck polynomials

DOI10.1215/00127094-2009-032zbMath1173.19004arXivmath/0601563OpenAlexW2030105072MaRDI QIDQ2389184

Mark Shimozono, Masaki Kashiwara

Publication date: 15 July 2009

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601563

zbMATH Keywords

\(K\)-theoryGrothendieck polynomialaffine flag manifold

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Equivariant (K)-theory (19L47)

Related Items

Hecke algebras and affine flag varieties in characteristic \(p\), A study of saturated tensor cone for symmetrizable Kac-Moody algebras, Perfect crystals for \(U_q(D_4^{(3)})\), Localization of IC-complexes on Kashiwara's flag scheme and representations of Kac-Moody algebras, Nonsymmetric Rogers-Ramanujan sums and thick Demazure modules, Positivity in \(T\)-equivariant \(K\)-theory of flag varieties associated to Kac-Moody groups, A conjectural Peterson isomorphism in \(K\)-theory, Finite-dimensional representations of DAHA and affine Springer fibers: the spherical case., Combinatorial description of the cohomology of the affine flag variety, Schubert varieties and finite free resolutions of length three, On the tensor semigroup of affine Kac-Moody lie algebras, Positivity in 𝑇-equivariant 𝐾-theory of flag varieties associated to Kac-Moody groups II, Grassmanniennes affines tordues sur les entiers

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