Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of ${\mathrm{SL}}_2({\mathbb{Q}}_p)$

Ehud Moshe Baruch, Markos Karameris, Soma Purkait

Let $p$ be an odd prime, and let $\overline{{\mathrm{SL}}_2({\mathbb{Z}}_p)}$ and $\overline{K_0(p^n)}$ denote the inverse images of ${\mathrm{SL}}_2({\mathbb{Z}}_p)$ and the congruence su…