Extensions of mod p representations of division algebras over non-Archimedean local fields
Published in Journal de Théorie des Nombres de Bordeaux, 2023
Recommended citation: Andrew Keisling and Dylan Pentland. "Extensions of mod p representations of division algebras over non-Archimedean local fields." arXiv preprint arXiv:2110.00705 (2023). https://arxiv.org/pdf/2110.00705.pdf
(With Andrew Keisling) This paper computes the Ext^1 groups of arbitrary smooth irreducible mod p representations of division algebras over a non-Archimedean local field of residue characteristic p (with mild assumptions on p). We also give partial results for higher extensions.