论文标题

正交萨克斯等效性,II

Orthosymplectic Satake equivalence, II

论文作者

Braverman, Alexander, Finkelberg, Michael, Travkin, Roman

论文摘要

这是Arxiv的同伴论文:1909.11492和Arxiv:1912.01930。我们证明了与扭曲的正交超级组的等价表示,与扭曲的$ sp(2n,{\ mathbb c} [\![t] \!])$ - equivariant $ d $ - 模型所谓的mirabolic Grassine of $ sp(2n)$(2n)$(2n)$。我们还讨论了(猜想)对量子超级组和一些例外超组的情况的扩展(猜想)。

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 $Sp(2n,{\mathbb C}[\![t]\!])$-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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