Construction of central elements in the affine Hecke algebra via nearby cycles

Details Construction of central elements in the affine Hecke algebra via nearby cycles Construction of central elements in the affine Hecke algebra via nearby cycles

1999-12-09

arxiv.org/abs/math/9912074v4

Mathematics

Algebraic Geometry

Revised version

Scientific paper

Let $G$ be a reductive group, let $Gr=G((t))/G[[t]]$ be the corresponding affine Grassmannian and let $Fl=G((t))/I$ be the affine flag variety. We construct, following an idea of Belinson, a 1-parametric deformation of the product $Gr\times G/B$ to $Fl$. We use this construction to produce perverse sheaves on $Fl$ which are central with respect to the convolution product from spherical perverse sheaves on $Gr$.

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