Hecke Subalgebras and Local Newforms for the Metaplectic Double Cover of $\SL_2(\mathbb Q_p)$

Ehud Moshe Baruch, Markos Karameris, Soma Purkait

We determine an explicit compact Hecke subalgebra for the metaplectic double cover of $\SL_2(\mathbb Q_p)$ at the congruence subgroup $K_0(p^n)$, for odd $p$, and use it to study l…