Orthosymplectic Satake equivalence, II

Abstract

This is a companion paper of arXiv:1909.11492 and arXiv:1912.01930. We prove an equivalence relating representations of a degenerate orthosymplectic supergroup with the category of twisted Sp(2n, C[\![t]\!])-equivariant D-modules on the so called mirabolic affine Grassmannian of Sp(2n). We also discuss (conjectural) extension of this equivalence to the case of quantum supergroups and to some exceptional supergroups.

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