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| Main Author: | |
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| Format: | Preprint |
| Published: |
2019
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1904.11350 |
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| _version_ | 1866909201181179904 |
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| author | Abe, Noriyuki |
| author_facet | Abe, Noriyuki |
| contents | We give an action of the Hecke category on the principal block $\mathrm{Rep}_0(G_1T)$ of $G_1T$-modules where $G$ is a connected reductive group over an algebraically closed field of characteristic $p > 0$, $T$ a maximal torus of $G$ and $G_1$ the Frobenius kernel of $G$. To define it, we define a new category with a Hecke action which is equivalent to the combinatorial category defined by Andersen-Jantzen-Soergel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_11350 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | A Hecke action on $G_1T$-modules Abe, Noriyuki Representation Theory 20G05, 22E47 We give an action of the Hecke category on the principal block $\mathrm{Rep}_0(G_1T)$ of $G_1T$-modules where $G$ is a connected reductive group over an algebraically closed field of characteristic $p > 0$, $T$ a maximal torus of $G$ and $G_1$ the Frobenius kernel of $G$. To define it, we define a new category with a Hecke action which is equivalent to the combinatorial category defined by Andersen-Jantzen-Soergel. |
| title | A Hecke action on $G_1T$-modules |
| topic | Representation Theory 20G05, 22E47 |
| url | https://arxiv.org/abs/1904.11350 |