Branching rules for unramified principal series representations of GL(3) over a p-adic field

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/140210On restriction to the maximal compact subgroup $\mathrm{GL}(3,\mathscr{R})$, an unramified principal series representation of the $p$-adic group $\mathrm{GL}(3,F)$ decomposes into a direct sum of finite-dimensional irreducibles each appearing with finite multiplicity. We describe a coarser decomposition into components which, although reducible in general, capture the equivalences between the irreducible constituents.24 pagesRepresentation Theory20G25; 20G05Branching rules for unramified principal series representations of GL(3) over a p-adic fieldtext