Gautam H. Borisagar, Asfak Soneji
Published 2025-01-08Version 1
We compute $\mathrm{Ext}^{1}_B(\chi_1,\chi_2)$ between two characters $\chi_1,\chi_2$ 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 $\mathrm{Ext}^1_G(\pi_1,\pi_2)$ between principal series representations $\pi_1,\pi_2$ of $G(\mathbb{F}_q).$
Morita's Duality for Split Reductive Groups
The coadjoint structure of Borel subgroups and their nilradicals
Decompositions of principal series representations of Iwahori-Hecke algebras for Kac-Moody groups over local fields
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