Characterising the Haar measure on the $p$-adic rotation groups via inverse limits of measure spaces

Paolo Aniello, Sonia L'Innocente, Stefano Mancini +3

We determine the Haar measure on the compact $p$-adic special orthogonal groups of rotations $\mathrm{SO}(d{)}_p$ in dimension $d=2,3$, by exploiting the machinery of inverse limits…