JACQUET FUNCTORS AND UNREFINED MINIMAL K-TYPES

The notion of an unrefined minimal K-type is extended to an arbitrary reductive group over a non archimedean local field. This allows one to define the depth of a representation. The relationship between unrefi ned minimal K-types and the functors of Jacquet is determined, Analogu es of fundamental results of Borel are proved for representations of d epth zero.