The Haar measure of the $p$-adic rotation group $\text{SO}(3{)}_p$ via nautical angles

Lorenzo Guglielmi, Stefano Mancini, Vincenzo Parisi +1

We study the explicit construction of the Haar measure on the compact $p$-adic rotation group $\text{SO}(3{)}_p$ by nautical (Cardano) parametrization. Exploiting its topological g…