On Extensions of supersingular representations of ${\mathrm{SL}}_2({\mathbb{Q}}_p)$

Abstract

In this note for $p>5$ we calculate the dimensions of ${\mathrm{Ext}}_{{\mathrm{SL}}_2({\mathbb{Q}}_p)}^1(\tau ,\sigma )$ for any two irreducible supersingular representations $\tau$ and $\sigma$ of ${\mathrm{SL}}_2({\mathbb{Q}}_p)$.

9 pages. Preliminary version

References in corpus (2)

• Parabolic induction and extensions
• Pro-p Iwahori-Hecke algebras are Gorenstein

Cited by in corpus (1)

• Functorial properties of pro-$p$-Iwahori cohomology