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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2501.04301 |
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| _version_ | 1866910014807998464 |
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| author | Borisagar, Gautam H. Soneji, Asfak |
| author_facet | Borisagar, Gautam H. Soneji, Asfak |
| contents | We compute $\mathrm{Ext}^{1}_B(χ_1,χ_2)$ between two characters $χ_1,χ_2$ of a Borel subgroup $B$ of a split reductive group $G$ over a finite field $\mathbb{F}_q,$ and make an application to the calculation of $\mathrm{Ext}^1_G(π_1,π_2)$ between principal series representations $π_1,π_2$ of $G(\mathbb{F}_q).$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04301 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On extensions of principal series representations Borisagar, Gautam H. Soneji, Asfak Representation Theory We compute $\mathrm{Ext}^{1}_B(χ_1,χ_2)$ between two characters $χ_1,χ_2$ of a Borel subgroup $B$ of a split reductive group $G$ over a finite field $\mathbb{F}_q,$ and make an application to the calculation of $\mathrm{Ext}^1_G(π_1,π_2)$ between principal series representations $π_1,π_2$ of $G(\mathbb{F}_q).$ |
| title | On extensions of principal series representations |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2501.04301 |