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Breuil–Herzig conjecture on the ordinary representation inside the global representation
Assume that $\rho$ has Loewy length $3$ . Let $\rho$ be a representation for which $\rho$ -compatible representations $\Pi(\rho)$ and $\Pi(\rho)^{\mathrm{ord}}$ are defined, with…
Conjectureopenordinary-representations p-adic-representations principal-seriesarXiv posted 2 days ago

Breuil–Herzig conjecture on the ordinary representation inside the global representation