Cohomological equation and cocycle rigidity of parabolic actions in $SL(n,\RR)$

Zhenqi Jenny Wang

For any unitary representation $(\pi ,\mathcal{H})$ of $G=SL(n,\RR)$, $n\ge 3$ without non-trivial $G$-invariant vectors, we study smooth solutions of the cohomological equation $\ma…