Formal Hecke algebras and algebraic oriented cohomology theories.

DOI10.1007/s00029-013-0132-8zbMath1329.20004arXiv1208.4114OpenAlexW2041678620MaRDI QIDQ478566

Kirill Zainoulline, Alistair Savage, José Malagón-López, Alexander E. Hoffnung

Publication date: 3 December 2014

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

Full work available at URL: https://arxiv.org/abs/1208.4114

zbMATH Keywords

affine Hecke algebrasDemazure operatororiented cohomologyformal Demazure algebrasformal group lawsformal Hecke algebrasnil Hecke rings

Mathematics Subject Classification ID

Hecke algebras and their representations (20C08) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) Bordism and cobordism theories and formal group laws in algebraic topology (55N22)

Related Items (15)

A coproduct structure on the formal affine Demazure algebra ⋮ Motivic decompositions of twisted flag varieties and representations of Hecke-type algebras ⋮ The hyperbolic formal affine Demazure algebra ⋮ Oriented cohomology sheaves on double moment graphs ⋮ Formal affine Demazure and Hecke algebras of Kac-Moody root systems ⋮ The formal affine Demazure algebra and real finite reflection groups ⋮ A deformation of Robert-Wagner foam evaluation and link homology ⋮ UNITARY REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS AT ROOTS OF UNITY: COMBINATORIAL CLASSIFICATION AND BGG RESOLUTIONS ⋮ Geometric properties of the Kazhdan-Lusztig Schubert basis ⋮ Smooth Schubert varieties and generalized Schubert polynomials in algebraic cobordism of Grassmannians ⋮ PARABOLIC KAZHDAN–LUSZTIG BASIS, SCHUBERT CLASSES, AND EQUIVARIANT ORIENTED COHOMOLOGY ⋮ Localized operations on \(T\)-equivariant oriented cohomology of projective homogeneous varieties ⋮ Geometric representations of the formal affine Hecke algebra ⋮ Representations of the elliptic affine Hecke algebras ⋮ Push-pull operators on the formal affine Demazure algebra and its dual

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