Mirabolic affine Grassmannian and character sheaves
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2008
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| _version_ | 1866915945027469312 |
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| author | Finkelberg, Michael Ginzburg, Victor Travkin, Roman |
| author_facet | Finkelberg, Michael Ginzburg, Victor Travkin, Roman |
| contents | We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups over the finite field, and the structure constants of multiplication in the mirabolic Hall-Littlewood basis of symmetric functions, introduced by Shoji. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_0802_1652 |
| institution | arXiv |
| publishDate | 2008 |
| record_format | arxiv |
| spellingShingle | Mirabolic affine Grassmannian and character sheaves Finkelberg, Michael Ginzburg, Victor Travkin, Roman Algebraic Geometry Combinatorics We compute the Frobenius trace functions of mirabolic character sheaves defined over a finite field. The answer is given in terms of the character values of general linear groups over the finite field, and the structure constants of multiplication in the mirabolic Hall-Littlewood basis of symmetric functions, introduced by Shoji. |
| title | Mirabolic affine Grassmannian and character sheaves |
| topic | Algebraic Geometry Combinatorics |
| url | https://arxiv.org/abs/0802.1652 |