-DISPLAYS AND RAPOPORT–ZINK SPACES

Let be a pair of a reductive group over the -adic integers and a minuscule cocharacter of defined over an unramified extension. We introduce and study ‘ -displays’ which generalize Zink’s Witt vector displays. We use these to define certain Rapoport–Zink formal schemes purely group theoretically, i.e. without -divisible groups.