Gergely Zábrádi: The Bruhat-Tits building of a $p$-adic $GL_n$ II

In the second part we sketch the proof of the Borel-Matsumoto Theorem which states that any smooth irreducible admissible representation of \(GL_n(\mathbb{Q}_p)\) with an Iwahori-fixed vector embeds into an unramified principal series representation.