On the automorphic atoms of length 2 of $\mathrm{GL}_2(\mathbb{Q}_p)$
On the automorphic atoms of length 2 of $\mathrm{GL}_2(\mathbb{Q}_p)$
Let p>3 be a prime. The aim of this paper is to give a description of the invariant space, under principal and Iwahori congruence subgroups of arbitrary level, of extensions of generic principal series representations appearing in the p -modular local Langlands correspondence for \bold{GL}_2(\bold{Q}_p) . As an application we …