Orthosymplectic Satake equivalence, II
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866909436752166912 |
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| author | Braverman, Alexander Finkelberg, Michael Travkin, Roman |
| author_facet | Braverman, Alexander Finkelberg, Michael Travkin, Roman |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2207_03115 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Orthosymplectic Satake equivalence, II Braverman, Alexander Finkelberg, Michael Travkin, Roman Representation Theory High Energy Physics - Theory Algebraic Geometry Quantum Algebra 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. |
| title | Orthosymplectic Satake equivalence, II |
| topic | Representation Theory High Energy Physics - Theory Algebraic Geometry Quantum Algebra |
| url | https://arxiv.org/abs/2207.03115 |