Exterior powers of a parabolic Springer sheaf on a Lie algebra
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866914730979885056 |
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| author | Bezrukavnikov, Roman Tolmachov, Kostiantyn |
| author_facet | Bezrukavnikov, Roman Tolmachov, Kostiantyn |
| contents | We compute the exterior powers, with respect to the additive convolution on the general linear Lie algebra, of a parabolic Springer sheaf corresponding to a maximal parabolic subgroup of type (1, n -- 1). They turn out to be isomorphic to the semisimple perverse sheaves attached by the Springer correspondence to the exterior powers of the permutation representation of the symmetric group. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_01603 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Exterior powers of a parabolic Springer sheaf on a Lie algebra Bezrukavnikov, Roman Tolmachov, Kostiantyn Representation Theory Algebraic Geometry We compute the exterior powers, with respect to the additive convolution on the general linear Lie algebra, of a parabolic Springer sheaf corresponding to a maximal parabolic subgroup of type (1, n -- 1). They turn out to be isomorphic to the semisimple perverse sheaves attached by the Springer correspondence to the exterior powers of the permutation representation of the symmetric group. |
| title | Exterior powers of a parabolic Springer sheaf on a Lie algebra |
| topic | Representation Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2209.01603 |