Branching rules for the restriction of regular representations of ${\mathrm{GL}}_2(\mathfrak{o}/{\mathfrak{p}}^r)$ to ${\mathrm{SL}}_2(\mathfrak{o}/{\mathfrak{p}}^r).$

M Hassain

Let $\mathfrak{o}$ be a compact discrete valuation ring with maximal ideal $\mathfrak{p}$ such that the finite residue field $\mathfrak{o}/\mathfrak{p}$ has characteristic $p.$ For…