Normalized intertwining operators and nilpotent elements in the Langlands dual group

Alexander Braverman, David Kazhdan

Let $F$ be a local non-archimedian field and let $G$ be a group of points of a split reductive group over $F$. For a parabolic subgroup $P$ of $G$ we set $X_P=G/[P,P]$. For any two…