Induced representations from the Heisenberg parabolic subgroup of $SL(n+2,\mathbb{R})$

Robin van Haastrecht

The group $G=SL(n+2,\mathbb{R})$ has a parabolic subgroup $P=MAN$ whose unipotent radical is a Heisenberg group. We study representations induced from a character of $P$, and using the…