Gelfand–Kirillov dimension and the <i>p</i>-adic Jacquet–Langlands correspondence
Gelfand–Kirillov dimension and the <i>p</i>-adic Jacquet–Langlands correspondence
Abstract We bound the Gelfand–Kirillov dimension of unitary Banach space representations of p -adic reductive groups, whose locally analytic vectors afford an infinitesimal character. We use the bound to study Hecke eigenspaces in completed cohomology of Shimura curves and p -adic Banach space representations of the group of units of …